10576661400 has 96 divisors (see below), whose sum is σ = 36430741200. Its totient is φ = 2820441600.

The previous prime is 10576661393. The next prime is 10576661449. The reversal of 10576661400 is 416667501.

10576661400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10576661400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973921 + ... + 984720.

Almost surely, 2^10576661400 is an apocalyptic number.

10576661400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10576661400 is an abundant number, since it is smaller than the sum of its proper divisors (25854079800).

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

10576661400 is a wasteful number, since it uses less digits than its factorization.

10576661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958666 (or 1958651 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10576661400 in words is "ten billion, five hundred seventy-six million, six hundred sixty-one thousand, four hundred".