10617604000 has 48 divisors (see below), whose sum is σ = 26087462856. Its totient is φ = 4247040000.

The previous prime is 10617603979. The next prime is 10617604013. The reversal of 10617604000 is 40671601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3113193616 + 7504410384 = 55796^2 + 86628^2 .

It is a super-2 number, since 2×10617604000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323201 + ... + 1331200.

Almost surely, 2^10617604000 is an apocalyptic number.

10617604000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10617604000 is an abundant number, since it is smaller than the sum of its proper divisors (15469858856).

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

10617604000 is an equidigital number, since it uses as much as digits as its factorization.

10617604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654426 (or 2654408 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 10617604000 in words is "ten billion, six hundred seventeen million, six hundred four thousand".