21990928490496 has 1344 divisors, whose sum is σ = 77047010426880. Its totient is φ = 5912726077440.

The previous prime is 21990928490491. The next prime is 21990928490533. The reversal of 21990928490496 is 69409482909912.

21990928490496 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 0 + 92 + 8 + 49 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×21990928490496³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (21990928490491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160517726140 + ... + 160517726276.

Almost surely, 2^{21990928490496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21990928490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38523505213440).

21990928490496 is an abundant number, since it is smaller than the sum of its proper divisors (55056081936384).

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

21990928490496 is a wasteful number, since it uses less digits than its factorization.

21990928490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 21990928490496 in words is "twenty-one trillion, nine hundred ninety billion, nine hundred twenty-eight million, four hundred ninety thousand, four hundred ninety-six".