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11999216839680 = 210325722927189
BaseRepresentation
bin1010111010011100100100…
…0011101010110000000000
31120111010002001102102210200
42232213021003222300000
53033043344002332210
641304210352125200
72345625531163200
oct256471103526000
946433061372720
1011999216839680
1139069260a5974
121419641536800
136906a1384805
142d6a9d998400
1515c1d92c30c0
hexae9c90eac00

11999216839680 has 2376 divisors, whose sum is σ = 51366557604960. Its totient is φ = 2581470904320.

The previous prime is 11999216839669. The next prime is 11999216839699. The reversal of 11999216839680 is 8693861299911.

11999216839680 is a `hidden beast` number, since 1 + 1 + 99 + 92 + 1 + 68 + 396 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11999216839599 and 11999216839608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 134822661076 + ... + 134822661164.

Almost surely, 211999216839680 is an apocalyptic number.

11999216839680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11999216839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683278802480).

11999216839680 is an abundant number, since it is smaller than the sum of its proper divisors (39367340765280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11999216839680 is a wasteful number, since it uses less digits than its factorization.

11999216839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 11999216839680 in words is "eleven trillion, nine hundred ninety-nine billion, two hundred sixteen million, eight hundred thirty-nine thousand, six hundred eighty".