7057152900 has 648 divisors, whose sum is σ = 27858841920. Its totient is φ = 1461680640.

The previous prime is 7057152827. The next prime is 7057152943. The reversal of 7057152900 is 92517507.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 65954647 + ... + 65954753.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 2^7057152900 is an apocalyptic number.

7057152900 is a gapful number since it is divisible by the number (70) 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 7057152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929420960).

7057152900 is an abundant number, since it is smaller than the sum of its proper divisors (20801689020).

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

7057152900 is a wasteful number, since it uses less digits than its factorization.

7057152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 7057152900 is about 84006.8622197020. The cubic root of 7057152900 is about 1918.1232474988.

The spelling of 7057152900 in words is "seven billion, fifty-seven million, one hundred fifty-two thousand, nine hundred".