19876046400 has 756 divisors, whose sum is σ = 87064408548. Its totient is φ = 4273274880.

The previous prime is 19876046389. The next prime is 19876046429. The reversal of 19876046400 is 464067891.

It can be written as a sum of positive squares in 6 ways, for example, as 150405696 + 19725640704 = 12264^2 + 140448^2 .

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 107 ways as a sum of consecutive naturals, for example, 11994372 + ... + 11996028.

Almost surely, 2^19876046400 is an apocalyptic number.

19876046400 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 19876046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43532204274).

19876046400 is an abundant number, since it is smaller than the sum of its proper divisors (67188362148).

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

19876046400 is a wasteful number, since it uses less digits than its factorization.

19876046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19876046400 in words is "nineteen billion, eight hundred seventy-six million, forty-six thousand, four hundred".