31476121860000 has 960 divisors, whose sum is σ = 111643417670400. Its totient is φ = 7733698560000.

The previous prime is 31476121859999. The next prime is 31476121860013. The reversal of 31476121860000 is 6812167413.

It is an unprimeable number.

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, 10790578542 + ... + 10790581458.

It is an arithmetic number, because the mean of its divisors is an integer number (116295226740).

Almost surely, 2^{31476121860000} is an apocalyptic number.

31476121860000 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 31476121860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55821708835200).

31476121860000 is an abundant number, since it is smaller than the sum of its proper divisors (80167295810400).

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

31476121860000 is a wasteful number, since it uses less digits than its factorization.

31476121860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 31476121860000 in words is "thirty-one trillion, four hundred seventy-six billion, one hundred twenty-one million, eight hundred sixty thousand".