21158519632320 has 224 divisors, whose sum is σ = 77046497192448. Its totient is φ = 4819143462912.

The previous prime is 21158519632307. The next prime is 21158519632339. The reversal of 21158519632320 is 2323691585112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21158519632320.

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, 3661119 + ... + 7464638.

It is an arithmetic number, because the mean of its divisors is an integer number (343957576752).

Almost surely, 2^{21158519632320} is an apocalyptic number.

21158519632320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21158519632320 is an abundant number, since it is smaller than the sum of its proper divisors (55887977560128).

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

21158519632320 is a wasteful number, since it uses less digits than its factorization.

21158519632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126067 (or 11126057 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 21158519632320 in words is "twenty-one trillion, one hundred fifty-eight billion, five hundred nineteen million, six hundred thirty-two thousand, three hundred twenty".