31260138000 has 480 divisors, whose sum is σ = 126270668160. Its totient is φ = 6594739200.

The previous prime is 31260137983. The next prime is 31260138001. The reversal of 31260138000 is 83106213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31260138001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3817911 + ... + 3826089.

It is an arithmetic number, because the mean of its divisors is an integer number (263063892).

Almost surely, 2^31260138000 is an apocalyptic number.

31260138000 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 31260138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135334080).

31260138000 is an abundant number, since it is smaller than the sum of its proper divisors (95010530160).

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

31260138000 is a wasteful number, since it uses less digits than its factorization.

31260138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 31260138000 in words is "thirty-one billion, two hundred sixty million, one hundred thirty-eight thousand".