31660072771488 has 864 divisors, whose sum is σ = 106364459335680. Its totient is φ = 8211280573440.

The previous prime is 31660072771441. The next prime is 31660072771567. The reversal of 31660072771488 is 88417727006613.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5422170873 + ... + 5422176711.

It is an arithmetic number, because the mean of its divisors is an integer number (123107013120).

Almost surely, 2^{31660072771488} is an apocalyptic number.

31660072771488 is a gapful number since it is divisible by the number (38) 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 31660072771488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53182229667840).

31660072771488 is an abundant number, since it is smaller than the sum of its proper divisors (74704386564192).

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

31660072771488 is a wasteful number, since it uses less digits than its factorization.

31660072771488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 31660072771488 in words is "thirty-one trillion, six hundred sixty billion, seventy-two million, seven hundred seventy-one thousand, four hundred eighty-eight".