5657516236800 has 336 divisors, whose sum is σ = 20784885359280. Its totient is φ = 1508669521920.

The previous prime is 5657516236781. The next prime is 5657516236829. The reversal of 5657516236800 is 86326157565.

It is a happy number.

5657516236800 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 5 + 1 + 623 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5018034 + ... + 6041166.

It is an arithmetic number, because the mean of its divisors is an integer number (61859777855).

Almost surely, 2^{5657516236800} is an apocalyptic number.

5657516236800 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 5657516236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392442679640).

5657516236800 is an abundant number, since it is smaller than the sum of its proper divisors (15127369122480).

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

5657516236800 is a wasteful number, since it uses less digits than its factorization.

5657516236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023178 (or 1023143 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5657516236800 in words is "five trillion, six hundred fifty-seven billion, five hundred sixteen million, two hundred thirty-six thousand, eight hundred".