57699259341408 has 864 divisors, whose sum is σ = 182729079816192. Its totient is φ = 17245625241600.

The previous prime is 57699259341343. The next prime is 57699259341431. The reversal of 57699259341408 is 80414395299675.

57699259341408 is a `hidden beast` number, since 5 + 7 + 6 + 9 + 92 + 5 + 93 + 41 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 29880506203 + ... + 29880508133.

It is an arithmetic number, because the mean of its divisors is an integer number (211491990528).

It is a 1-persistent number, because it is pandigital, but 2⋅57699259341408 = 115398518682816 is not.

Almost surely, 2^{57699259341408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57699259341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91364539908096).

57699259341408 is an abundant number, since it is smaller than the sum of its proper divisors (125029820474784).

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

57699259341408 is a wasteful number, since it uses less digits than its factorization.

57699259341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 57699259341408 in words is "fifty-seven trillion, six hundred ninety-nine billion, two hundred fifty-nine million, three hundred forty-one thousand, four hundred eight".