10253477376 has 360 divisors, whose sum is σ = 33384213720. Its totient is φ = 3010756608.

The previous prime is 10253477341. The next prime is 10253477389. The reversal of 10253477376 is 67377435201.

10253477376 is a `hidden beast` number, since 10 + 2 + 534 + 77 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123535831 + ... + 123535913.

It is an arithmetic number, because the mean of its divisors is an integer number (92733927).

Almost surely, 2^10253477376 is an apocalyptic number.

10253477376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253477376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692106860).

10253477376 is an abundant number, since it is smaller than the sum of its proper divisors (23130736344).

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

10253477376 is an equidigital number, since it uses as much as digits as its factorization.

10253477376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 10253477376 in words is "ten billion, two hundred fifty-three million, four hundred seventy-seven thousand, three hundred seventy-six".