19926145600 has 63 divisors (see below), whose sum is σ = 49044669627. Its totient is φ = 7968199680.

The previous prime is 19926145573. The next prime is 19926145609. The reversal of 19926145600 is 654162991.

The square root of 19926145600 is 141160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6662477376 + 13263668224 = 81624^2 + 115168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19926145609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5644636 + ... + 5648164.

Almost surely, 2^19926145600 is an apocalyptic number.

19926145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19926145600 is the 141160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19926145600

19926145600 is an abundant number, since it is smaller than the sum of its proper divisors (29118524027).

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

19926145600 is an frugal number, since it uses more digits than its factorization.

19926145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 19926145600 in words is "nineteen billion, nine hundred twenty-six million, one hundred forty-five thousand, six hundred".