21336156241920 has 2560 divisors, whose sum is σ = 90802443916800. Its totient is φ = 4742411452416.

The previous prime is 21336156241891. The next prime is 21336156241963. The reversal of 21336156241920 is 2914265163312.

21336156241920 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 6 + 1 + 5 + 624 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 159 ways as a sum of consecutive naturals, for example, 75392778099 + ... + 75392778381.

It is an arithmetic number, because the mean of its divisors is an integer number (35469704655).

Almost surely, 2^{21336156241920} is an apocalyptic number.

21336156241920 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 21336156241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45401221958400).

21336156241920 is an abundant number, since it is smaller than the sum of its proper divisors (69466287674880).

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

21336156241920 is a wasteful number, since it uses less digits than its factorization.

21336156241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 21336156241920 in words is "twenty-one trillion, three hundred thirty-six billion, one hundred fifty-six million, two hundred forty-one thousand, nine hundred twenty".