10699520400 has 180 divisors, whose sum is σ = 37198207332. Its totient is φ = 2847989760.

The previous prime is 10699520387. The next prime is 10699520411. The reversal of 10699520400 is 402599601.

10699520400 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 520 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4318066944 + 6381453456 = 65712^2 + 79884^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10699520400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2218792 + ... + 2223608.

Almost surely, 2^10699520400 is an apocalyptic number.

10699520400 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 10699520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599103666).

10699520400 is an abundant number, since it is smaller than the sum of its proper divisors (26498686932).

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

10699520400 is a wasteful number, since it uses less digits than its factorization.

10699520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10699520400 in words is "ten billion, six hundred ninety-nine million, five hundred twenty thousand, four hundred".