31090688547072 has 432 divisors, whose sum is σ = 108465555287040. Its totient is φ = 7724390952960.

The previous prime is 31090688547047. The next prime is 31090688547133. The reversal of 31090688547072 is 27074588609013.

It is a junction number, because it is equal to n+sod(n) for n = 31090688546997 and 31090688547015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13922379 + ... + 16000437.

It is a 1-persistent number, because it is pandigital, but 2⋅31090688547072 = 62181377094144 is not.

Almost surely, 2^{31090688547072} is an apocalyptic number.

31090688547072 is a gapful number since it is divisible by the number (32) 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 31090688547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54232777643520).

31090688547072 is an abundant number, since it is smaller than the sum of its proper divisors (77374866739968).

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

31090688547072 is a wasteful number, since it uses less digits than its factorization.

31090688547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078130 (or 2078105 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 31090688547072 in words is "thirty-one trillion, ninety billion, six hundred eighty-eight million, five hundred forty-seven thousand, seventy-two".