21590119824 has 640 divisors, whose sum is σ = 75995136000. Its totient is φ = 5123948544.

The previous prime is 21590119819. The next prime is 21590119841. The reversal of 21590119824 is 42891109512.

It is a super-2 number, since 2×21590119824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242585572 + ... + 242585660.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 2^21590119824 is an apocalyptic number.

21590119824 is a gapful number since it is divisible by the number (24) 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 21590119824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568000).

21590119824 is an abundant number, since it is smaller than the sum of its proper divisors (54405016176).

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

21590119824 is a wasteful number, since it uses less digits than its factorization.

21590119824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 21590119824 in words is "twenty-one billion, five hundred ninety million, one hundred nineteen thousand, eight hundred twenty-four".