31952989200000 has 3072 divisors, whose sum is σ = 131853080862720. Its totient is φ = 6758400000000.

The previous prime is 31952989199969. The next prime is 31952989200029. The reversal of 31952989200000 is 298925913.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 211609199925 + ... + 211609200075.

It is an arithmetic number, because the mean of its divisors is an integer number (42920924760).

Almost surely, 2^{31952989200000} is an apocalyptic number.

31952989200000 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 31952989200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65926540431360).

31952989200000 is an abundant number, since it is smaller than the sum of its proper divisors (99900091662720).

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

31952989200000 is a wasteful number, since it uses less digits than its factorization.

31952989200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 31952989200000 in words is "thirty-one trillion, nine hundred fifty-two billion, nine hundred eighty-nine million, two hundred thousand".