10460712732288 has 768 divisors, whose sum is σ = 36487078871040. Its totient is φ = 2626972508160.

The previous prime is 10460712732277. The next prime is 10460712732383. The reversal of 10460712732288 is 88223721706401.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10460712732288.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277094273 + ... + 1277102463.

It is an arithmetic number, because the mean of its divisors is an integer number (47509217280).

Almost surely, 2^{10460712732288} 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 10460712732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243539435520).

10460712732288 is an abundant number, since it is smaller than the sum of its proper divisors (26026366138752).

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

10460712732288 is a wasteful number, since it uses less digits than its factorization.

10460712732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 10460712732288 in words is "ten trillion, four hundred sixty billion, seven hundred twelve million, seven hundred thirty-two thousand, two hundred eighty-eight".