21885875788800 has 264 divisors, whose sum is σ = 72389888594352. Its totient is φ = 5831720960000.

The previous prime is 21885875788717. The next prime is 21885875788823. The reversal of 21885875788800 is 888757858812.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99807280 + ... + 100026320.

Almost surely, 2^{21885875788800} is an apocalyptic number.

21885875788800 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 21885875788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36194944297176).

21885875788800 is an abundant number, since it is smaller than the sum of its proper divisors (50504012805552).

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

21885875788800 is a wasteful number, since it uses less digits than its factorization.

21885875788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220375 (or 220352 counting only the distinct ones).

The product of its (nonzero) digits is 642252800, while the sum is 75.

The spelling of 21885875788800 in words is "twenty-one trillion, eight hundred eighty-five billion, eight hundred seventy-five million, seven hundred eighty-eight thousand, eight hundred".