21376190880 has 576 divisors, whose sum is σ = 82154217600. Its totient is φ = 5017436160.

The previous prime is 21376190839. The next prime is 21376190897. The reversal of 21376190880 is 8809167312.

21376190880 is a `hidden beast` number, since 21 + 3 + 7 + 619 + 0 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83175712 + ... + 83175968.

It is an arithmetic number, because the mean of its divisors is an integer number (142628850).

Almost surely, 2^21376190880 is an apocalyptic number.

21376190880 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 21376190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41077108800).

21376190880 is an abundant number, since it is smaller than the sum of its proper divisors (60778026720).

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

21376190880 is a wasteful number, since it uses less digits than its factorization.

21376190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21376190880 in words is "twenty-one billion, three hundred seventy-six million, one hundred ninety thousand, eight hundred eighty".