21612698150400 has 1440 divisors, whose sum is σ = 90427412275200. Its totient is φ = 4827783168000.

The previous prime is 21612698150327. The next prime is 21612698150419. The reversal of 21612698150400 is 405189621612.

21612698150400 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 2 + 6 + 98 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6434263921 + ... + 6434267279.

It is an arithmetic number, because the mean of its divisors is an integer number (62796814080).

Almost surely, 2^{21612698150400} is an apocalyptic number.

21612698150400 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 21612698150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45213706137600).

21612698150400 is an abundant number, since it is smaller than the sum of its proper divisors (68814714124800).

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

21612698150400 is a wasteful number, since it uses less digits than its factorization.

21612698150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21612698150400 in words is "twenty-one trillion, six hundred twelve billion, six hundred ninety-eight million, one hundred fifty thousand, four hundred".