21462554880 has 1152 divisors, whose sum is σ = 89666519040. Its totient is φ = 4817387520.

The previous prime is 21462554879. The next prime is 21462554923. The reversal of 21462554880 is 8845526412.

21462554880 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 25 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 320336607 + ... + 320336673.

It is an arithmetic number, because the mean of its divisors is an integer number (77835520).

Almost surely, 2^21462554880 is an apocalyptic number.

21462554880 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 21462554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44833259520).

21462554880 is an abundant number, since it is smaller than the sum of its proper divisors (68203964160).

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

21462554880 is a wasteful number, since it uses less digits than its factorization.

21462554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 21462554880 in words is "twenty-one billion, four hundred sixty-two million, five hundred fifty-four thousand, eight hundred eighty".