21375175146120 has 256 divisors, whose sum is σ = 72310541875200. Its totient is φ = 5615431557120.

The previous prime is 21375175146109. The next prime is 21375175146121. The reversal of 21375175146120 is 2164157157312.

21375175146120 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 1 + 7 + 514 + 6 + 120 = 666.

It is a super-2 number, since 2×21375175146120² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21375175146121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67881840 + ... + 68196000.

It is an arithmetic number, because the mean of its divisors is an integer number (282463054200).

Almost surely, 2^{21375175146120} is an apocalyptic number.

21375175146120 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 21375175146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36155270937600).

21375175146120 is an abundant number, since it is smaller than the sum of its proper divisors (50935366729080).

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

21375175146120 is a wasteful number, since it uses less digits than its factorization.

21375175146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315117 (or 315107 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 21375175146120 in words is "twenty-one trillion, three hundred seventy-five billion, one hundred seventy-five million, one hundred forty-six thousand, one hundred twenty".