57278020800 has 1512 divisors, whose sum is σ = 260199542592. Its totient is φ = 10902528000.

The previous prime is 57278020781. The next prime is 57278020801. The reversal of 57278020800 is 802087275.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57278020801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 437236735 + ... + 437236865.

Almost surely, 2^57278020800 is an apocalyptic number.

57278020800 is a gapful number since it is divisible by the number (50) 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 57278020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130099771296).

57278020800 is an abundant number, since it is smaller than the sum of its proper divisors (202921521792).

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

57278020800 is a wasteful number, since it uses less digits than its factorization.

57278020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 57278020800 in words is "fifty-seven billion, two hundred seventy-eight million, twenty thousand, eight hundred".