21945876480 has 768 divisors, whose sum is σ = 87858842400. Its totient is φ = 5190451200.

The previous prime is 21945876461. The next prime is 21945876493. The reversal of 21945876480 is 8467854912.

It is a happy number.

21945876480 is a `hidden beast` number, since 2 + 1 + 94 + 5 + 8 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535265260 + ... + 535265300.

Almost surely, 2^21945876480 is an apocalyptic number.

21945876480 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 21945876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43929421200).

21945876480 is an abundant number, since it is smaller than the sum of its proper divisors (65912965920).

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

21945876480 is an equidigital number, since it uses as much as digits as its factorization.

21945876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21945876480 in words is "twenty-one billion, nine hundred forty-five million, eight hundred seventy-six thousand, four hundred eighty".