57503402334 has 128 divisors (see below), whose sum is σ = 147418306560. Its totient is φ = 16275168000.

The previous prime is 57503402323. The next prime is 57503402399. The reversal of 57503402334 is 43320430575.

57503402334 is a `hidden beast` number, since 575 + 0 + 34 + 0 + 23 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24028642 + ... + 24031034.

It is an arithmetic number, because the mean of its divisors is an integer number (1151705520).

Almost surely, 2^57503402334 is an apocalyptic number.

57503402334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57503402334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73709153280).

57503402334 is an abundant number, since it is smaller than the sum of its proper divisors (89914904226).

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

57503402334 is a wasteful number, since it uses less digits than its factorization.

57503402334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 57503402334 in words is "fifty-seven billion, five hundred three million, four hundred two thousand, three hundred thirty-four".