21152141366400 has 768 divisors, whose sum is σ = 85008159129600. Its totient is φ = 5093798400000.

The previous prime is 21152141366357. The next prime is 21152141366437. The reversal of 21152141366400 is 466314125112.

21152141366400 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 1 + 4 + 1 + 3 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143436705 + ... + 143584095.

It is an arithmetic number, because the mean of its divisors is an integer number (110687707200).

Almost surely, 2^{21152141366400} is an apocalyptic number.

21152141366400 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 21152141366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42504079564800).

21152141366400 is an abundant number, since it is smaller than the sum of its proper divisors (63856017763200).

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

21152141366400 is a wasteful number, since it uses less digits than its factorization.

21152141366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147586 (or 147563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21152141366400 in words is "twenty-one trillion, one hundred fifty-two billion, one hundred forty-one million, three hundred sixty-six thousand, four hundred".