31356546540000 has 480 divisors, whose sum is σ = 112291234602624. Its totient is φ = 7595831040000.

The previous prime is 31356546539987. The next prime is 31356546540113. The reversal of 31356546540000 is 4564565313.

It is a tau number, because it is divible by the number of its divisors (480).

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 congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 906162699 + ... + 906197301.

Almost surely, 2^{31356546540000} is an apocalyptic number.

31356546540000 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 31356546540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56145617301312).

31356546540000 is an abundant number, since it is smaller than the sum of its proper divisors (80934688062624).

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

31356546540000 is a wasteful number, since it uses less digits than its factorization.

31356546540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 35997 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 31356546540000 in words is "thirty-one trillion, three hundred fifty-six billion, five hundred forty-six million, five hundred forty thousand".