31887060480 has 640 divisors, whose sum is σ = 130883765760. Its totient is φ = 7272529920.

The previous prime is 31887060437. The next prime is 31887060493. The reversal of 31887060480 is 8406078813.

31887060480 is a `hidden beast` number, since 31 + 8 + 8 + 7 + 0 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12924207 + ... + 12926673.

It is an arithmetic number, because the mean of its divisors is an integer number (204505884).

Almost surely, 2^31887060480 is an apocalyptic number.

31887060480 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 31887060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65441882880).

31887060480 is an abundant number, since it is smaller than the sum of its proper divisors (98996705280).

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

31887060480 is a wasteful number, since it uses less digits than its factorization.

31887060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 31887060480 in words is "thirty-one billion, eight hundred eighty-seven million, sixty thousand, four hundred eighty".