57753780084 has 768 divisors, whose sum is σ = 218687078400. Its totient is φ = 12681100800.

The previous prime is 57753780061. The next prime is 57753780121. The reversal of 57753780084 is 48008735775.

It is a super-2 number, since 2×57753780084² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57753780084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63675159 + ... + 63676065.

It is an arithmetic number, because the mean of its divisors is an integer number (284748800).

Almost surely, 2^57753780084 is an apocalyptic number.

57753780084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57753780084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109343539200).

57753780084 is an abundant number, since it is smaller than the sum of its proper divisors (160933298316).

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

57753780084 is a wasteful number, since it uses less digits than its factorization.

57753780084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 57753780084 in words is "fifty-seven billion, seven hundred fifty-three million, seven hundred eighty thousand, eighty-four".