21875157896130 has 1536 divisors, whose sum is σ = 79683222528000. Its totient is φ = 4179004047360.

The previous prime is 21875157896083. The next prime is 21875157896153. The reversal of 21875157896130 is 3169875157812.

It is a happy number.

21875157896130 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 5 + 1 + 5 + 7 + 8 + 9 + 613 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42976734316 + ... + 42976734824.

It is an arithmetic number, because the mean of its divisors is an integer number (51877098000).

Almost surely, 2^{21875157896130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21875157896130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841611264000).

21875157896130 is an abundant number, since it is smaller than the sum of its proper divisors (57808064631870).

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

21875157896130 is a wasteful number, since it uses less digits than its factorization.

21875157896130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 21875157896130 in words is "twenty-one trillion, eight hundred seventy-five billion, one hundred fifty-seven million, eight hundred ninety-six thousand, one hundred thirty".