11992156505280 has 2240 divisors, whose sum is σ = 51525723110400. Its totient is φ = 2590878597120.

The previous prime is 11992156505261. The next prime is 11992156505291. The reversal of 11992156505280 is 8250565129911.

11992156505280 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 2 + 1 + 56 + 505 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39062398887 + ... + 39062399193.

It is an arithmetic number, because the mean of its divisors is an integer number (23002554960).

Almost surely, 2^{11992156505280} is an apocalyptic number.

11992156505280 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 11992156505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25762861555200).

11992156505280 is an abundant number, since it is smaller than the sum of its proper divisors (39533566605120).

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

11992156505280 is a wasteful number, since it uses less digits than its factorization.

11992156505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 11992156505280 in words is "eleven trillion, nine hundred ninety-two billion, one hundred fifty-six million, five hundred five thousand, two hundred eighty".