10765798464960 has 2240 divisors, whose sum is σ = 51623442478080. Its totient is φ = 2061762232320.

The previous prime is 10765798464947. The next prime is 10765798464989. The reversal of 10765798464960 is 6946489756701.

It is a happy number.

10765798464960 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 5 + 7 + 98 + 46 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1403071684 + ... + 1403079356.

Almost surely, 2^{10765798464960} is an apocalyptic number.

10765798464960 is a gapful number since it is divisible by the number (10) 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 10765798464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25811721239040).

10765798464960 is an abundant number, since it is smaller than the sum of its proper divisors (40857644013120).

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

10765798464960 is a wasteful number, since it uses less digits than its factorization.

10765798464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 10765798464960 in words is "ten trillion, seven hundred sixty-five billion, seven hundred ninety-eight million, four hundred sixty-four thousand, nine hundred sixty".