21859382488104 has 288 divisors, whose sum is σ = 75271519814400. Its totient is φ = 5688534942720.

The previous prime is 21859382488093. The next prime is 21859382488127. The reversal of 21859382488104 is 40188428395812.

21859382488104 is a `hidden beast` number, since 2 + 1 + 8 + 593 + 8 + 24 + 8 + 8 + 10 + 4 = 666.

It is a super-2 number, since 2×21859382488104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4019274 + ... + 7737785.

It is an arithmetic number, because the mean of its divisors is an integer number (261359443800).

Almost surely, 2^{21859382488104} is an apocalyptic number.

21859382488104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21859382488104 is an abundant number, since it is smaller than the sum of its proper divisors (53412137326296).

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

21859382488104 is a wasteful number, since it uses less digits than its factorization.

21859382488104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757133 (or 11757119 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 21859382488104 in words is "twenty-one trillion, eight hundred fifty-nine billion, three hundred eighty-two million, four hundred eighty-eight thousand, one hundred four".