21901860829332 has 432 divisors, whose sum is σ = 63663426008000. Its totient is φ = 6578669560320.

The previous prime is 21901860829279. The next prime is 21901860829351. The reversal of 21901860829332 is 23392806810912.

21901860829332 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 1 + 8 + 608 + 29 + 3 + 3 + 2 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 9214075728 + ... + 9214078104.

Almost surely, 2^{21901860829332} is an apocalyptic number.

21901860829332 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 21901860829332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31831713004000).

21901860829332 is an abundant number, since it is smaller than the sum of its proper divisors (41761565178668).

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

21901860829332 is a wasteful number, since it uses less digits than its factorization.

21901860829332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 21901860829332 in words is "twenty-one trillion, nine hundred one billion, eight hundred sixty million, eight hundred twenty-nine thousand, three hundred thirty-two".