10745531596800 has 3240 divisors, whose sum is σ = 52894648649700. Its totient is φ = 2061080985600.

The previous prime is 10745531596771. The next prime is 10745531596859. The reversal of 10745531596800 is 869513554701.

10745531596800 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 553 + 1 + 5 + 9 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 826579353594 + ... + 826579353606.

Almost surely, 2^{10745531596800} is an apocalyptic number.

10745531596800 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 10745531596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447324324850).

10745531596800 is an abundant number, since it is smaller than the sum of its proper divisors (42149117052900).

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

10745531596800 is an equidigital number, since it uses as much as digits as its factorization.

10745531596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10745531596800 in words is "ten trillion, seven hundred forty-five billion, five hundred thirty-one million, five hundred ninety-six thousand, eight hundred".