57153276400 has 240 divisors, whose sum is σ = 153539815680. Its totient is φ = 20269004800.

The previous prime is 57153276373. The next prime is 57153276407. The reversal of 57153276400 is 467235175.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57153276407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35564397 + ... + 35566003.

It is an arithmetic number, because the mean of its divisors is an integer number (639749232).

Almost surely, 2^57153276400 is an apocalyptic number.

57153276400 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 57153276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769907840).

57153276400 is an abundant number, since it is smaller than the sum of its proper divisors (96386539280).

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

57153276400 is a wasteful number, since it uses less digits than its factorization.

57153276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 57153276400 in words is "fifty-seven billion, one hundred fifty-three million, two hundred seventy-six thousand, four hundred".