7857649922500 has 135 divisors (see below), whose sum is σ = 19991010445329. Its totient is φ = 2693715024000.

The previous prime is 7857649922477. The next prime is 7857649922513. The reversal of 7857649922500 is 52299467587.

The square root of 7857649922500 is 2803150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4975478214084 + 2882171708416 = 2230578^2 + 1697696^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 981098496 + ... + 981106504.

Almost surely, 2^{7857649922500} is an apocalyptic number.

7857649922500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7857649922500 is the 2803150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7857649922500

7857649922500 is an abundant number, since it is smaller than the sum of its proper divisors (12133360522829).

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

7857649922500 is an frugal number, since it uses more digits than its factorization.

7857649922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 64.

Multiplying 7857649922500 by its sum of digits (64), we get a square (502889595040000 = 22425200²).

The spelling of 7857649922500 in words is "seven trillion, eight hundred fifty-seven billion, six hundred forty-nine million, nine hundred twenty-two thousand, five hundred".