19842521400 has 240 divisors, whose sum is σ = 74218036200. Its totient is φ = 4884261120.

The previous prime is 19842521371. The next prime is 19842521401. The reversal of 19842521400 is 412524891.

19842521400 is a `hidden beast` number, since 1 + 98 + 4 + 2 + 521 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19842521401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 163491 + ... + 257709.

Almost surely, 2^19842521400 is an apocalyptic number.

19842521400 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 19842521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37109018100).

19842521400 is an abundant number, since it is smaller than the sum of its proper divisors (54375514800).

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

19842521400 is a wasteful number, since it uses less digits than its factorization.

19842521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94260 (or 94242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 19842521400 in words is "nineteen billion, eight hundred forty-two million, five hundred twenty-one thousand, four hundred".