21042098919600 has 720 divisors, whose sum is σ = 75345986298240. Its totient is φ = 4976907059200.

The previous prime is 21042098919599. The next prime is 21042098919631. The reversal of 21042098919600 is 691989024012.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17290138192 + ... + 17290139408.

It is an arithmetic number, because the mean of its divisors is an integer number (104647203192).

Almost surely, 2^{21042098919600} is an apocalyptic number.

21042098919600 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 21042098919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37672993149120).

21042098919600 is an abundant number, since it is smaller than the sum of its proper divisors (54303887378640).

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

21042098919600 is a wasteful number, since it uses less digits than its factorization.

21042098919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 21042098919600 in words is "twenty-one trillion, forty-two billion, ninety-eight million, nine hundred nineteen thousand, six hundred".