10053679680 has 168 divisors, whose sum is σ = 37724266944. Its totient is φ = 2437248000.

The previous prime is 10053679667. The next prime is 10053679729. The reversal of 10053679680 is 8697635001.

It is a happy number.

10053679680 is a `hidden beast` number, since 100 + 536 + 7 + 9 + 6 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 126996 + ... + 190355.

It is an arithmetic number, because the mean of its divisors is an integer number (224549208).

Almost surely, 2^10053679680 is an apocalyptic number.

10053679680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053679680 is an abundant number, since it is smaller than the sum of its proper divisors (27670587264).

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

10053679680 is a wasteful number, since it uses less digits than its factorization.

10053679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317385 (or 317372 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10053679680 in words is "ten billion, fifty-three million, six hundred seventy-nine thousand, six hundred eighty".