10225610640 has 160 divisors (see below), whose sum is σ = 40253256960. Its totient is φ = 2337278976.

The previous prime is 10225610587. The next prime is 10225610663. The reversal of 10225610640 is 4601652201.

10225610640 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 6 + 10 + 640 = 666.

It is a super-2 number, since 2×10225610640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323029 + ... + 353268.

It is an arithmetic number, because the mean of its divisors is an integer number (251582856).

Almost surely, 2^10225610640 is an apocalyptic number.

10225610640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225610640 is an abundant number, since it is smaller than the sum of its proper divisors (30027646320).

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

10225610640 is a wasteful number, since it uses less digits than its factorization.

10225610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676326 (or 676314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 102256 and 10640, that added together give a square (112896 = 336²).

The spelling of 10225610640 in words is "ten billion, two hundred twenty-five million, six hundred ten thousand, six hundred forty".