19010894400 has 315 divisors, whose sum is σ = 70062194521. Its totient is φ = 5056335360.

The previous prime is 19010894393. The next prime is 19010894401. The reversal of 19010894400 is 449801091.

The square root of 19010894400 is 137880.

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., 6843921984 + 12166972416 = 82728^2 + 110304^2 .

It is a super-2 number, since 2×19010894400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19010894401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49636609 + ... + 49636991.

Almost surely, 2^19010894400 is an apocalyptic number.

19010894400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19010894400 is the 137880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19010894400

19010894400 is an abundant number, since it is smaller than the sum of its proper divisors (51051300121).

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

19010894400 is an frugal number, since it uses more digits than its factorization.

19010894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 19010894400 by its sum of digits (36), we get a square (684392198400 = 827280²).

19010894400 divided by its sum of digits (36) gives a square (528080400 = 22980²).

The spelling of 19010894400 in words is "nineteen billion, ten million, eight hundred ninety-four thousand, four hundred".