10645315092720 has 1920 divisors, whose sum is σ = 48470465691648. Its totient is φ = 2105417318400.

The previous prime is 10645315092703. The next prime is 10645315092733. The reversal of 10645315092720 is 2729051354601.

10645315092720 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 531 + 5 + 0 + 92 + 7 + 20 = 666.

It is a super-2 number, since 2×10645315092720² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8297205199 + ... + 8297206481.

Almost surely, 2^{10645315092720} is an apocalyptic number.

10645315092720 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 10645315092720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235232845824).

10645315092720 is an abundant number, since it is smaller than the sum of its proper divisors (37825150598928).

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

10645315092720 is a wasteful number, since it uses less digits than its factorization.

10645315092720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10645315092720 in words is "ten trillion, six hundred forty-five billion, three hundred fifteen million, ninety-two thousand, seven hundred twenty".