5707357152000 has 2304 divisors, whose sum is σ = 23366680436736. Its totient is φ = 1207664640000.

The previous prime is 5707357151941. The next prime is 5707357152011. The reversal of 5707357152000 is 2517537075.

It is a happy number.

It is a super-2 number, since 2×5707357152000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 80385311965 + ... + 80385312035.

It is an arithmetic number, because the mean of its divisors is an integer number (10141788384).

Almost surely, 2^{5707357152000} is an apocalyptic number.

5707357152000 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 5707357152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683340218368).

5707357152000 is an abundant number, since it is smaller than the sum of its proper divisors (17659323284736).

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

5707357152000 is a wasteful number, since it uses less digits than its factorization.

5707357152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 42.

The spelling of 5707357152000 in words is "five trillion, seven hundred seven billion, three hundred fifty-seven million, one hundred fifty-two thousand".