10153676640 has 48 divisors (see below), whose sum is σ = 31984082928. Its totient is φ = 2707646976.

The previous prime is 10153676639. The next prime is 10153676651. The reversal of 10153676640 is 4667635101.

10153676640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 10576267 + ... + 10577226.

It is an arithmetic number, because the mean of its divisors is an integer number (666335061).

Almost surely, 2^10153676640 is an apocalyptic number.

10153676640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153676640 is an abundant number, since it is smaller than the sum of its proper divisors (21830406288).

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

10153676640 is a wasteful number, since it uses less digits than its factorization.

10153676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153511 (or 21153503 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10153676640 in words is "ten billion, one hundred fifty-three million, six hundred seventy-six thousand, six hundred forty".