31985796032000 has 640 divisors, whose sum is σ = 87327043854336. Its totient is φ = 11648102400000.

The previous prime is 31985796031991. The next prime is 31985796032041. The reversal of 31985796032000 is 23069758913.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×31985796032000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 2783546255 + ... + 2783557745.

Almost surely, 2^{31985796032000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31985796032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663521927168).

31985796032000 is an abundant number, since it is smaller than the sum of its proper divisors (55341247822336).

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

31985796032000 is a wasteful number, since it uses less digits than its factorization.

31985796032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11613 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 31985796032000 in words is "thirty-one trillion, nine hundred eighty-five billion, seven hundred ninety-six million, thirty-two thousand".