31587978240 has 1408 divisors, whose sum is σ = 144381296640. Its totient is φ = 6449725440.

The previous prime is 31587978229. The next prime is 31587978293. The reversal of 31587978240 is 4287978513.

It is a happy number.

31587978240 is a `hidden beast` number, since 31 + 587 + 9 + 7 + 8 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018967025 + ... + 1018967055.

Almost surely, 2^31587978240 is an apocalyptic number.

31587978240 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 31587978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72190648320).

31587978240 is an abundant number, since it is smaller than the sum of its proper divisors (112793318400).

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

31587978240 is an equidigital number, since it uses as much as digits as its factorization.

31587978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 31587978240 in words is "thirty-one billion, five hundred eighty-seven million, nine hundred seventy-eight thousand, two hundred forty".