31878494968320 has 1920 divisors, whose sum is σ = 151854993658368. Its totient is φ = 5965244006400.

The previous prime is 31878494968297. The next prime is 31878494968339. The reversal of 31878494968320 is 2386949487813.

31878494968320 is a `hidden beast` number, since 3 + 1 + 8 + 78 + 49 + 496 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 945567784 + ... + 945601496.

Almost surely, 2^{31878494968320} is an apocalyptic number.

31878494968320 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 31878494968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75927496829184).

31878494968320 is an abundant number, since it is smaller than the sum of its proper divisors (119976498690048).

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

31878494968320 is a wasteful number, since it uses less digits than its factorization.

31878494968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33814 (or 33795 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 31878494968320 in words is "thirty-one trillion, eight hundred seventy-eight billion, four hundred ninety-four million, nine hundred sixty-eight thousand, three hundred twenty".