10457763310080 has 160 divisors (see below), whose sum is σ = 37146847003200. Its totient is φ = 2788736864256.

The previous prime is 10457763310079. The next prime is 10457763310097. The reversal of 10457763310080 is 8001336775401.

10457763310080 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 7 + 633 + 1 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75580210 + ... + 75718449.

It is an arithmetic number, because the mean of its divisors is an integer number (232167793770).

Almost surely, 2^{10457763310080} is an apocalyptic number.

10457763310080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457763310080 is an abundant number, since it is smaller than the sum of its proper divisors (26689083693120).

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

10457763310080 is an equidigital number, since it uses as much as digits as its factorization.

10457763310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151298691 (or 151298669 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10457763310080 in words is "ten trillion, four hundred fifty-seven billion, seven hundred sixty-three million, three hundred ten thousand, eighty".