19975334400 has 960 divisors, whose sum is σ = 87680102400. Its totient is φ = 4355112960.

The previous prime is 19975334399. The next prime is 19975334443. The reversal of 19975334400 is 443357991.

19975334400 is a `hidden beast` number, since 199 + 7 + 53 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55641421 + ... + 55641779.

It is an arithmetic number, because the mean of its divisors is an integer number (91333440).

Almost surely, 2^19975334400 is an apocalyptic number.

19975334400 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 19975334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43840051200).

19975334400 is an abundant number, since it is smaller than the sum of its proper divisors (67704768000).

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

19975334400 is a wasteful number, since it uses less digits than its factorization.

19975334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 19975334400 in words is "nineteen billion, nine hundred seventy-five million, three hundred thirty-four thousand, four hundred".