21980748490272 has 2592 divisors, whose sum is σ = 84225632924160. Its totient is φ = 5587074662400.

The previous prime is 21980748490247. The next prime is 21980748490301. The reversal of 21980748490272 is 27209484708912.

21980748490272 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 0 + 74 + 8 + 490 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 194519898088 + ... + 194519898200.

Almost surely, 2^{21980748490272} is an apocalyptic number.

21980748490272 is a gapful number since it is divisible by the number (22) 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 21980748490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42112816462080).

21980748490272 is an abundant number, since it is smaller than the sum of its proper divisors (62244884433888).

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

21980748490272 is a wasteful number, since it uses less digits than its factorization.

21980748490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 21980748490272 in words is "twenty-one trillion, nine hundred eighty billion, seven hundred forty-eight million, four hundred ninety thousand, two hundred seventy-two".