13553880156432 has 960 divisors, whose sum is σ = 50092600296960. Its totient is φ = 3318755328000.

The previous prime is 13553880156413. The next prime is 13553880156449. The reversal of 13553880156432 is 23465108835531.

13553880156432 is a `hidden beast` number, since 1 + 3 + 5 + 53 + 8 + 8 + 0 + 156 + 432 = 666.

It is a super-2 number, since 2×13553880156432² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2370800038 + ... + 2370805754.

It is an arithmetic number, because the mean of its divisors is an integer number (52179791976).

Almost surely, 2^{13553880156432} is an apocalyptic number.

13553880156432 is a gapful number since it is divisible by the number (12) 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 13553880156432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25046300148480).

13553880156432 is an abundant number, since it is smaller than the sum of its proper divisors (36538720140528).

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

13553880156432 is a wasteful number, since it uses less digits than its factorization.

13553880156432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 13553880156432 in words is "thirteen trillion, five hundred fifty-three billion, eight hundred eighty million, one hundred fifty-six thousand, four hundred thirty-two".