31068885120 has 1024 divisors, whose sum is σ = 131604480000. Its totient is φ = 6177669120.

The previous prime is 31068885079. The next prime is 31068885151. The reversal of 31068885120 is 2158886013.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 162664225 + ... + 162664415.

It is an arithmetic number, because the mean of its divisors is an integer number (128520000).

Almost surely, 2^31068885120 is an apocalyptic number.

31068885120 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 31068885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240000).

31068885120 is an abundant number, since it is smaller than the sum of its proper divisors (100535594880).

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

31068885120 is a wasteful number, since it uses less digits than its factorization.

31068885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 31068885120 in words is "thirty-one billion, sixty-eight million, eight hundred eighty-five thousand, one hundred twenty".