10661600400 has 360 divisors, whose sum is σ = 37963528512. Its totient is φ = 2555520000.

The previous prime is 10661600399. The next prime is 10661600447. The reversal of 10661600400 is 400616601.

It is a super-2 number, since 2×10661600400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14664837 + ... + 14665563.

Almost surely, 2^10661600400 is an apocalyptic number.

10661600400 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 10661600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981764256).

10661600400 is an abundant number, since it is smaller than the sum of its proper divisors (27301928112).

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

10661600400 is a wasteful number, since it uses less digits than its factorization.

10661600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10661600400 in words is "ten billion, six hundred sixty-one million, six hundred thousand, four hundred".