10485770625 has 80 divisors (see below), whose sum is σ = 21176971200. Its totient is φ = 5083920000.

The previous prime is 10485770599. The next prime is 10485770683. The reversal of 10485770625 is 52607758401.

10485770625 is a `hidden beast` number, since 10 + 4 + 8 + 5 + 7 + 7 + 0 + 625 = 666.

It is not a de Polignac number, because 10485770625 - 2²⁵ = 10452216193 is a prime.

It is a super-2 number, since 2×10485770625² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157381 + ... + 213869.

It is an arithmetic number, because the mean of its divisors is an integer number (264712140).

Almost surely, 2^10485770625 is an apocalyptic number.

10485770625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10485770625 is an abundant number, since it is smaller than the sum of its proper divisors (10691200575).

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

10485770625 is an equidigital number, since it uses as much as digits as its factorization.

10485770625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56529 (or 56508 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10485770625 in words is "ten billion, four hundred eighty-five million, seven hundred seventy thousand, six hundred twenty-five".