21125798628480 has 3072 divisors, whose sum is σ = 96796904601600. Its totient is φ = 4314149683200.

The previous prime is 21125798628469. The next prime is 21125798628499. The reversal of 21125798628480 is 8482689752112.

21125798628480 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 5 + 7 + 98 + 62 + 8 + 480 = 666.

It is a super-2 number, since 2×21125798628480² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49015773865 + ... + 49015774295.

It is an arithmetic number, because the mean of its divisors is an integer number (31509409050).

Almost surely, 2^{21125798628480} is an apocalyptic number.

21125798628480 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 21125798628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48398452300800).

21125798628480 is an abundant number, since it is smaller than the sum of its proper divisors (75671105973120).

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

21125798628480 is a wasteful number, since it uses less digits than its factorization.

21125798628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 21125798628480 in words is "twenty-one trillion, one hundred twenty-five billion, seven hundred ninety-eight million, six hundred twenty-eight thousand, four hundred eighty".