57814561350 has 1536 divisors, whose sum is σ = 230385254400. Its totient is φ = 10301644800.

The previous prime is 57814561313. The next prime is 57814561411. The reversal of 57814561350 is 5316541875.

57814561350 is a `hidden beast` number, since 5 + 7 + 81 + 4 + 561 + 3 + 5 + 0 = 666.

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 = 57814561296 and 57814561305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1230097027 + ... + 1230097073.

It is an arithmetic number, because the mean of its divisors is an integer number (149990400).

Almost surely, 2^57814561350 is an apocalyptic number.

57814561350 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 57814561350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115192627200).

57814561350 is an abundant number, since it is smaller than the sum of its proper divisors (172570693050).

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

57814561350 is a wasteful number, since it uses less digits than its factorization.

57814561350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 57814561350 in words is "fifty-seven billion, eight hundred fourteen million, five hundred sixty-one thousand, three hundred fifty".