11070936938880 has 4096 divisors, whose sum is σ = 54721142784000. Its totient is φ = 2046712872960.

The previous prime is 11070936938851. The next prime is 11070936938881. The reversal of 11070936938880 is 8883963907011.

11070936938880 is a `hidden beast` number, since 1 + 107 + 0 + 93 + 69 + 388 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11070936938881) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36061683687 + ... + 36061683993.

It is an arithmetic number, because the mean of its divisors is an integer number (13359654000).

Almost surely, 2^{11070936938880} is an apocalyptic number.

11070936938880 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 11070936938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360571392000).

11070936938880 is an abundant number, since it is smaller than the sum of its proper divisors (43650205845120).

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

11070936938880 is a wasteful number, since it uses less digits than its factorization.

11070936938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 11070936938880 in words is "eleven trillion, seventy billion, nine hundred thirty-six million, nine hundred thirty-eight thousand, eight hundred eighty".