21649901400 has 192 divisors, whose sum is σ = 76159411200. Its totient is φ = 5650404480.

The previous prime is 21649901393. The next prime is 21649901411. The reversal of 21649901400 is 410994612.

It is a happy number.

21649901400 is a `hidden beast` number, since 2 + 1 + 649 + 9 + 0 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211149 + ... + 296451.

It is an arithmetic number, because the mean of its divisors is an integer number (396663600).

Almost surely, 2^21649901400 is an apocalyptic number.

21649901400 is a gapful number since it is divisible by the number (20) 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 21649901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38079705600).

21649901400 is an abundant number, since it is smaller than the sum of its proper divisors (54509509800).

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

21649901400 is a wasteful number, since it uses less digits than its factorization.

21649901400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85375 (or 85360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21649901400 in words is "twenty-one billion, six hundred forty-nine million, nine hundred one thousand, four hundred".