13552564432000 has 512 divisors, whose sum is σ = 38953836230400. Its totient is φ = 4642140160000.

The previous prime is 13552564431997. The next prime is 13552564432019. The reversal of 13552564432000 is 23446525531.

It is a super-2 number, since 2×13552564432000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209231619 + ... + 209296381.

Almost surely, 2^{13552564432000} is an apocalyptic number.

13552564432000 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 13552564432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476918115200).

13552564432000 is an abundant number, since it is smaller than the sum of its proper divisors (25401271798400).

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

13552564432000 is a wasteful number, since it uses less digits than its factorization.

13552564432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64873 (or 64851 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 13552564432000 in words is "thirteen trillion, five hundred fifty-two billion, five hundred sixty-four million, four hundred thirty-two thousand".