10457710372560 has 960 divisors, whose sum is σ = 39223164628224. Its totient is φ = 2283149721600.

The previous prime is 10457710372553. The next prime is 10457710372567. The reversal of 10457710372560 is 6527301775401.

It is an interprime number because it is at equal distance from previous prime (10457710372553) and next prime (10457710372567).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457710372567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1721997684 + ... + 1722003756.

Almost surely, 2^{10457710372560} is an apocalyptic number.

10457710372560 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 10457710372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611582314112).

10457710372560 is an abundant number, since it is smaller than the sum of its proper divisors (28765454255664).

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

10457710372560 is a wasteful number, since it uses less digits than its factorization.

10457710372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

It can be divided in two parts, 10457 and 710372560, that added together give a palindrome (710383017).

The spelling of 10457710372560 in words is "ten trillion, four hundred fifty-seven billion, seven hundred ten million, three hundred seventy-two thousand, five hundred sixty".