57631672350 has 288 divisors, whose sum is σ = 182160126720. Its totient is φ = 12789342720.

The previous prime is 57631672349. The next prime is 57631672361. The reversal of 57631672350 is 5327613675.

57631672350 is a `hidden beast` number, since 5 + 7 + 631 + 6 + 7 + 2 + 3 + 5 + 0 = 666.

57631672350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57631672296 and 57631672305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24244362 + ... + 24246738.

It is an arithmetic number, because the mean of its divisors is an integer number (632500440).

Almost surely, 2^57631672350 is an apocalyptic number.

57631672350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57631672350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91080063360).

57631672350 is an abundant number, since it is smaller than the sum of its proper divisors (124528454370).

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

57631672350 is a wasteful number, since it uses less digits than its factorization.

57631672350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 57631672350 in words is "fifty-seven billion, six hundred thirty-one million, six hundred seventy-two thousand, three hundred fifty".