21392916480 has 720 divisors, whose sum is σ = 85261486464. Its totient is φ = 5096079360.

The previous prime is 21392916473. The next prime is 21392916509. The reversal of 21392916480 is 8461929312.

21392916480 is a `hidden beast` number, since 2 + 139 + 29 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690094065 + ... + 690094095.

Almost surely, 2^21392916480 is an apocalyptic number.

21392916480 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 21392916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630743232).

21392916480 is an abundant number, since it is smaller than the sum of its proper divisors (63868569984).

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

21392916480 is an frugal number, since it uses more digits than its factorization.

21392916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 21392916480 in words is "twenty-one billion, three hundred ninety-two million, nine hundred sixteen thousand, four hundred eighty".