21387395145600 has 1152 divisors, whose sum is σ = 83972691653760. Its totient is φ = 5140224000000.

The previous prime is 21387395145593. The next prime is 21387395145601. The reversal of 21387395145600 is 654159378312.

It is a happy number.

21387395145600 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 73 + 9 + 5 + 1 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×21387395145600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21387395145601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22026153115 + ... + 22026154085.

It is an arithmetic number, because the mean of its divisors is an integer number (72892961505).

It is a 1-persistent number, because it is pandigital, but 2⋅21387395145600 = 42774790291200 is not.

Almost surely, 2^{21387395145600} is an apocalyptic number.

21387395145600 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 21387395145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41986345826880).

21387395145600 is an abundant number, since it is smaller than the sum of its proper divisors (62585296508160).

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

21387395145600 is a wasteful number, since it uses less digits than its factorization.

21387395145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 21387395145600 in words is "twenty-one trillion, three hundred eighty-seven billion, three hundred ninety-five million, one hundred forty-five thousand, six hundred".