21948754080 has 192 divisors, whose sum is σ = 75502627200. Its totient is φ = 5315358720.

The previous prime is 21948754073. The next prime is 21948754099. The reversal of 21948754080 is 8045784912.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 7543666 + ... + 7546574.

It is an arithmetic number, because the mean of its divisors is an integer number (393242850).

Almost surely, 2^21948754080 is an apocalyptic number.

21948754080 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 21948754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751313600).

21948754080 is an abundant number, since it is smaller than the sum of its proper divisors (53553873120).

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

21948754080 is a wasteful number, since it uses less digits than its factorization.

21948754080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 21948754080 in words is "twenty-one billion, nine hundred forty-eight million, seven hundred fifty-four thousand, eighty".