5657076400000 has 384 divisors, whose sum is σ = 15430018665600. Its totient is φ = 2056212480000.

The previous prime is 5657076399943. The next prime is 5657076400033. The reversal of 5657076400000 is 46707565.

It is a happy number.

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

It is a congruent number.

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, 197185657 + ... + 197214343.

It is an arithmetic number, because the mean of its divisors is an integer number (40182340275).

Almost surely, 2^{5657076400000} is an apocalyptic number.

5657076400000 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 5657076400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715009332800).

5657076400000 is an abundant number, since it is smaller than the sum of its proper divisors (9772942265600).

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

5657076400000 is an equidigital number, since it uses as much as digits as its factorization.

5657076400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28772 (or 28740 counting only the distinct ones).

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

The spelling of 5657076400000 in words is "five trillion, six hundred fifty-seven billion, seventy-six million, four hundred thousand".