19895102500 has 405 divisors, whose sum is σ = 56627093061. Its totient is φ = 6093360000.

The previous prime is 19895102497. The next prime is 19895102561. The reversal of 19895102500 is 520159891.

The square root of 19895102500 is 141050.

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 19650993124 + 244109376 = 140182^2 + 15624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 641777485 + ... + 641777515.

Almost surely, 2^19895102500 is an apocalyptic number.

19895102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19895102500 is the 141050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19895102500

19895102500 is an abundant number, since it is smaller than the sum of its proper divisors (36731990561).

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

19895102500 is a wasteful number, since it uses less digits than its factorization.

19895102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

Multiplying 19895102500 by its product of nonzero digits (32400), we get a square (644601321000000 = 25389000²).

The spelling of 19895102500 in words is "nineteen billion, eight hundred ninety-five million, one hundred two thousand, five hundred".