10200880800 has 540 divisors, whose sum is σ = 40921376958. Its totient is φ = 2471040000.

The previous prime is 10200880783. The next prime is 10200880843. The reversal of 10200880800 is 808800201.

It can be written as a sum of positive squares in 3 ways, for example, as 3865357584 + 6335523216 = 62172^2 + 79596^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840150 + ... + 7841450.

Almost surely, 2^10200880800 is an apocalyptic number.

10200880800 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 10200880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460688479).

10200880800 is an abundant number, since it is smaller than the sum of its proper divisors (30720496158).

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

10200880800 is a wasteful number, since it uses less digits than its factorization.

10200880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10200880800 in words is "ten billion, two hundred million, eight hundred eighty thousand, eight hundred".