63857290000 has 375 divisors, whose sum is σ = 189837894147. Its totient is φ = 20741616000.

The previous prime is 63857289997. The next prime is 63857290069. The reversal of 63857290000 is 9275836.

The square root of 63857290000 is 252700.

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

63857290000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5006411536 + 58850878464 = 70756^2 + 242592^2 .

It is a super-2 number, since 2×63857290000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3360909991 + ... + 3360910009.

Almost surely, 2^63857290000 is an apocalyptic number.

63857290000 is the 252700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63857290000

63857290000 is an abundant number, since it is smaller than the sum of its proper divisors (125980604147).

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

63857290000 is an frugal number, since it uses more digits than its factorization.

63857290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 63857290000 in words is "sixty-three billion, eight hundred fifty-seven million, two hundred ninety thousand".