31053127680 has 448 divisors, whose sum is σ = 113144929920. Its totient is φ = 8075870208.

The previous prime is 31053127667. The next prime is 31053127711. The reversal of 31053127680 is 8672135013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47554234 + ... + 47554886.

Almost surely, 2^31053127680 is an apocalyptic number.

31053127680 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 31053127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56572464960).

31053127680 is an abundant number, since it is smaller than the sum of its proper divisors (82091802240).

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

31053127680 is an equidigital number, since it uses as much as digits as its factorization.

31053127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 31053127680 in words is "thirty-one billion, fifty-three million, one hundred twenty-seven thousand, six hundred eighty".