21550004215040 has 288 divisors, whose sum is σ = 62112054251520. Its totient is φ = 6998120865792.

The previous prime is 21550004215007. The next prime is 21550004215063. The reversal of 21550004215040 is 4051240005512.

It is a junction number, because it is equal to n+sod(n) for n = 21550004214994 and 21550004215012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933414377 + ... + 933437463.

It is an arithmetic number, because the mean of its divisors is an integer number (215666855040).

Almost surely, 2^{21550004215040} is an apocalyptic number.

21550004215040 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 21550004215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056027125760).

21550004215040 is an abundant number, since it is smaller than the sum of its proper divisors (40562050036480).

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

21550004215040 is a wasteful number, since it uses less digits than its factorization.

21550004215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 21550004215040 in words is "twenty-one trillion, five hundred fifty billion, four million, two hundred fifteen thousand, forty".