19252150272 has 192 divisors, whose sum is σ = 56273331660. Its totient is φ = 6341787648.

The previous prime is 19252150241. The next prime is 19252150283. The reversal of 19252150272 is 27205125291.

19252150272 is a `hidden beast` number, since 19 + 2 + 521 + 50 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19004276736 + 247873536 = 137856^2 + 15744^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 11 ways as a sum of consecutive naturals, for example, 28606128 + ... + 28606800.

Almost surely, 2^19252150272 is an apocalyptic number.

19252150272 is a gapful number since it is divisible by the number (12) 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 19252150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28136665830).

19252150272 is an abundant number, since it is smaller than the sum of its proper divisors (37021181388).

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

19252150272 is an frugal number, since it uses more digits than its factorization.

19252150272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 19252150272 in words is "nineteen billion, two hundred fifty-two million, one hundred fifty thousand, two hundred seventy-two".