21815998038000 has 480 divisors, whose sum is σ = 77334478026624. Its totient is φ = 5730816000000.

The previous prime is 21815998037923. The next prime is 21815998038013. The reversal of 21815998038000 is 83089951812.

21815998038000 is a `hidden beast` number, since 2 + 18 + 1 + 599 + 8 + 0 + 38 + 0 + 0 + 0 = 666.

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, 1662671440 + ... + 1662684560.

Almost surely, 2^{21815998038000} is an apocalyptic number.

21815998038000 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 21815998038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38667239013312).

21815998038000 is an abundant number, since it is smaller than the sum of its proper divisors (55518479988624).

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

21815998038000 is a wasteful number, since it uses less digits than its factorization.

21815998038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14503 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 21815998038000 in words is "twenty-one trillion, eight hundred fifteen billion, nine hundred ninety-eight million, thirty-eight thousand".