21550271279040 has 2240 divisors, whose sum is σ = 96801655357440. Its totient is φ = 4437142364160.

The previous prime is 21550271278999. The next prime is 21550271279107. The reversal of 21550271279040 is 4097217205512.

21550271279040 is a `hidden beast` number, since 2 + 1 + 5 + 502 + 7 + 12 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15144251769 + ... + 15144253191.

Almost surely, 2^{21550271279040} is an apocalyptic number.

21550271279040 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 21550271279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400827678720).

21550271279040 is an abundant number, since it is smaller than the sum of its proper divisors (75251384078400).

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

21550271279040 is a wasteful number, since it uses less digits than its factorization.

21550271279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 21550271279040 in words is "twenty-one trillion, five hundred fifty billion, two hundred seventy-one million, two hundred seventy-nine thousand, forty".