31152761076460 has 192 divisors, whose sum is σ = 70234229108736. Its totient is φ = 11585412633600.

The previous prime is 31152761076421. The next prime is 31152761076461. The reversal of 31152761076460 is 6467016725113.

It is a happy number.

It is a super-2 number, since 2×31152761076460² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31152761076461) 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 63 ways as a sum of consecutive naturals, for example, 753535390 + ... + 753576730.

It is an arithmetic number, because the mean of its divisors is an integer number (365803276608).

Almost surely, 2^{31152761076460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31152761076460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35117114554368).

31152761076460 is an abundant number, since it is smaller than the sum of its proper divisors (39081468032276).

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

31152761076460 is a wasteful number, since it uses less digits than its factorization.

31152761076460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41832 (or 41830 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 31152761076460 in words is "thirty-one trillion, one hundred fifty-two billion, seven hundred sixty-one million, seventy-six thousand, four hundred sixty".