31789233840000 has 1280 divisors, whose sum is σ = 130444600366080. Its totient is φ = 6677323776000.

The previous prime is 31789233839941. The next prime is 31789233840011. The reversal of 31789233840000 is 4833298713.

It is a super-2 number, since 2×31789233840000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5088716877 + ... + 5088723123.

It is an arithmetic number, because the mean of its divisors is an integer number (101909844036).

Almost surely, 2^{31789233840000} is an apocalyptic number.

31789233840000 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 31789233840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65222300183040).

31789233840000 is an abundant number, since it is smaller than the sum of its proper divisors (98655366526080).

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

31789233840000 is a wasteful number, since it uses less digits than its factorization.

31789233840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 31789233840000 in words is "thirty-one trillion, seven hundred eighty-nine billion, two hundred thirty-three million, eight hundred forty thousand".