19270992400 has 135 divisors (see below), whose sum is σ = 50970929709. Its totient is φ = 6996528000.

The previous prime is 19270992397. The next prime is 19270992401. The reversal of 19270992400 is 429907291.

The square root of 19270992400 is 138820.

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

It can be written as a sum of positive squares in only one way, i.e., 6937557264 + 12333435136 = 83292^2 + 111056^2 .

It is a super-2 number, since 2×19270992400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19270992401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30540085 + ... + 30540715.

Almost surely, 2^19270992400 is an apocalyptic number.

19270992400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19270992400 is the 138820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19270992400

19270992400 is an abundant number, since it is smaller than the sum of its proper divisors (31699937309).

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

19270992400 is an equidigital number, since it uses as much as digits as its factorization.

19270992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 19270992400 in words is "nineteen billion, two hundred seventy million, nine hundred ninety-two thousand, four hundred".