31775047260000 has 960 divisors, whose sum is σ = 115720883663616. Its totient is φ = 7567257600000.

The previous prime is 31775047259987. The next prime is 31775047260001. The reversal of 31775047260000 is 6274057713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31775047260001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13538578827 + ... + 13538581173.

Almost surely, 2^{31775047260000} is an apocalyptic number.

31775047260000 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 31775047260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57860441831808).

31775047260000 is an abundant number, since it is smaller than the sum of its proper divisors (83945836403616).

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

31775047260000 is a wasteful number, since it uses less digits than its factorization.

31775047260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 31775047260000 in words is "thirty-one trillion, seven hundred seventy-five billion, forty-seven million, two hundred sixty thousand".