19472140800 has 600 divisors, whose sum is σ = 82393925856. Its totient is φ = 4449116160.

The previous prime is 19472140781. The next prime is 19472140819. The reversal of 19472140800 is 804127491.

It is an interprime number because it is at equal distance from previous prime (19472140781) and next prime (19472140819).

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 7256259 + ... + 7258941.

Almost surely, 2^19472140800 is an apocalyptic number.

19472140800 is a gapful number since it is divisible by the number (10) 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 19472140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41196962928).

19472140800 is an abundant number, since it is smaller than the sum of its proper divisors (62921785056).

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

19472140800 is an equidigital number, since it uses as much as digits as its factorization.

19472140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 19472140800 in words is "nineteen billion, four hundred seventy-two million, one hundred forty thousand, eight hundred".