21115991490048 has 1920 divisors, whose sum is σ = 81446824402944. Its totient is φ = 5116782182400.

The previous prime is 21115991489953. The next prime is 21115991490133. The reversal of 21115991490048 is 84009419951112.

21115991490048 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 599 + 1 + 4 + 9 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21115991489976 and 21115991490003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20681675778 + ... + 20681676798.

Almost surely, 2^{21115991490048} is an apocalyptic number.

21115991490048 is a gapful number since it is divisible by the number (28) 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 21115991490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40723412201472).

21115991490048 is an abundant number, since it is smaller than the sum of its proper divisors (60330832912896).

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

21115991490048 is a wasteful number, since it uses less digits than its factorization.

21115991490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 21115991490048 in words is "twenty-one trillion, one hundred fifteen billion, nine hundred ninety-one million, four hundred ninety thousand, forty-eight".