1625625000000 has 693 divisors, whose sum is σ = 6187219111567. Its totient is φ = 408000000000.

The previous prime is 1625624999987. The next prime is 1625625000019. The reversal of 1625625000000 is 5265261.

The square root of 1625625000000 is 1275000.

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

1625625000000 is a `hidden beast` number, since 16 + 25 + 625 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 263119754304 + 1362505245696 = 512952^2 + 1167264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 95624999992 + ... + 95625000008.

Almost surely, 2^{1625625000000} is an apocalyptic number.

1625625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1625625000000 is the 1275000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1625625000000

1625625000000 is an abundant number, since it is smaller than the sum of its proper divisors (4561594111567).

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

1625625000000 is an frugal number, since it uses more digits than its factorization.

1625625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

1625625000000 divided by its product of nonzero digits (3600) gives a square (451562500 = 21250²).

The spelling of 1625625000000 in words is "one trillion, six hundred twenty-five billion, six hundred twenty-five million", and thus it is an aban number.