10530516172800 has 816 divisors, whose sum is σ = 37908040049600. Its totient is φ = 2563894149120.

The previous prime is 10530516172789. The next prime is 10530516172867. The reversal of 10530516172800 is 827161503501.

It is a super-2 number, since 2×10530516172800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6198066351 + ... + 6198068049.

Almost surely, 2^{10530516172800} is an apocalyptic number.

10530516172800 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 10530516172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954020024800).

10530516172800 is an abundant number, since it is smaller than the sum of its proper divisors (27377523876800).

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

10530516172800 is an equidigital number, since it uses as much as digits as its factorization.

10530516172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 10530516172800 in words is "ten trillion, five hundred thirty billion, five hundred sixteen million, one hundred seventy-two thousand, eight hundred".