57414987756 has 144 divisors (see below), whose sum is σ = 179127698400. Its totient is φ = 15838574976.

The previous prime is 57414987649. The next prime is 57414987761. The reversal of 57414987756 is 65778941475.

57414987756 is a `hidden beast` number, since 5 + 74 + 1 + 498 + 7 + 75 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 57414987693 and 57414987702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33591 + ... + 340526.

It is an arithmetic number, because the mean of its divisors is an integer number (1243942350).

Almost surely, 2^57414987756 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 57414987756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89563849200).

57414987756 is an abundant number, since it is smaller than the sum of its proper divisors (121712710644).

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

57414987756 is a wasteful number, since it uses less digits than its factorization.

57414987756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374173 (or 374158 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 57414987756 in words is "fifty-seven billion, four hundred fourteen million, nine hundred eighty-seven thousand, seven hundred fifty-six".