31785894504 has 384 divisors, whose sum is σ = 115035264000. Its totient is φ = 7940664576.

The previous prime is 31785894493. The next prime is 31785894529. The reversal of 31785894504 is 40549858713.

31785894504 is a `hidden beast` number, since 3 + 1 + 7 + 8 + 589 + 4 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4851759 + ... + 4858305.

It is an arithmetic number, because the mean of its divisors is an integer number (299571000).

Almost surely, 2^31785894504 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 31785894504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57517632000).

31785894504 is an abundant number, since it is smaller than the sum of its proper divisors (83249369496).

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

31785894504 is a wasteful number, since it uses less digits than its factorization.

31785894504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 31785894504 in words is "thirty-one billion, seven hundred eighty-five million, eight hundred ninety-four thousand, five hundred four".