57355114950 has 216 divisors, whose sum is σ = 187047523728. Its totient is φ = 12539640960.

The previous prime is 57355114939. The next prime is 57355115003. The reversal of 57355114950 is 5941155375.

57355114950 is a `hidden beast` number, since 5 + 7 + 3 + 551 + 1 + 4 + 95 + 0 = 666.

57355114950 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 junction number, because it is equal to n+sod(n) for n = 57355114896 and 57355114905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 450604 + ... + 563696.

It is an arithmetic number, because the mean of its divisors is an integer number (865960758).

Almost surely, 2^57355114950 is an apocalyptic number.

57355114950 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 57355114950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93523761864).

57355114950 is an abundant number, since it is smaller than the sum of its proper divisors (129692408778).

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

57355114950 is a wasteful number, since it uses less digits than its factorization.

57355114950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113148 (or 113133 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 57355114950 in words is "fifty-seven billion, three hundred fifty-five million, one hundred fourteen thousand, nine hundred fifty".