32003147980800 has 504 divisors, whose sum is σ = 115006053137040. Its totient is φ = 8506579353600.

The previous prime is 32003147980787. The next prime is 32003147980849. The reversal of 32003147980800 is 808974130023.

32003147980800 is a `hidden beast` number, since 3 + 20 + 0 + 3 + 1 + 479 + 80 + 80 + 0 = 666.

It is a super-3 number, since 3×32003147980800³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 573207286 + ... + 573263114.

Almost surely, 2^{32003147980800} is an apocalyptic number.

32003147980800 is a gapful number since it is divisible by the number (30) 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 32003147980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57503026568520).

32003147980800 is an abundant number, since it is smaller than the sum of its proper divisors (83002905156240).

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

32003147980800 is a wasteful number, since it uses less digits than its factorization.

32003147980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56182 (or 56150 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 32003147980800 in words is "thirty-two trillion, three billion, one hundred forty-seven million, nine hundred eighty thousand, eight hundred".