21057419600 has 480 divisors, whose sum is σ = 62781315072. Its totient is φ = 6635520000.

The previous prime is 21057419599. The next prime is 21057419627. The reversal of 21057419600 is 691475012.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 217086752 + ... + 217086848.

Almost surely, 2^21057419600 is an apocalyptic number.

21057419600 is a gapful number since it is divisible by the number (20) 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 21057419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31390657536).

21057419600 is an abundant number, since it is smaller than the sum of its proper divisors (41723895472).

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

21057419600 is a wasteful number, since it uses less digits than its factorization.

21057419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 21057419600 in words is "twenty-one billion, fifty-seven million, four hundred nineteen thousand, six hundred".