21116499930432 has 224 divisors, whose sum is σ = 64108679747840. Its totient is φ = 6810753300480.

The previous prime is 21116499930431. The next prime is 21116499930443. The reversal of 21116499930432 is 23403999461112.

21116499930432 is a `hidden beast` number, since 2 + 1 + 116 + 4 + 9 + 9 + 93 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21116499930431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10660053 + ... + 12484779.

It is an arithmetic number, because the mean of its divisors is an integer number (286199463160).

Almost surely, 2^{21116499930432} 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 21116499930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32054339873920).

21116499930432 is an abundant number, since it is smaller than the sum of its proper divisors (42992179817408).

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

21116499930432 is a wasteful number, since it uses less digits than its factorization.

21116499930432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824966 (or 1824950 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 21116499930432 in words is "twenty-one trillion, one hundred sixteen billion, four hundred ninety-nine million, nine hundred thirty thousand, four hundred thirty-two".