21175125058152 has 192 divisors, whose sum is σ = 68236977070080. Its totient is φ = 5865547032576.

The previous prime is 21175125058127. The next prime is 21175125058177. The reversal of 21175125058152 is 25185052157112.

21175125058152 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 5 + 12 + 5 + 0 + 581 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (21175125058127) and next prime (21175125058177).

It is a junction number, because it is equal to n+sod(n) for n = 21175125058098 and 21175125058107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28563688 + ... + 29295639.

It is an arithmetic number, because the mean of its divisors is an integer number (355400922240).

Almost surely, 2^{21175125058152} is an apocalyptic number.

It is an amenable number.

21175125058152 is an abundant number, since it is smaller than the sum of its proper divisors (47061852011928).

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

21175125058152 is a wasteful number, since it uses less digits than its factorization.

21175125058152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57859392 (or 57859385 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 45.

The spelling of 21175125058152 in words is "twenty-one trillion, one hundred seventy-five billion, one hundred twenty-five million, fifty-eight thousand, one hundred fifty-two".