21620535049575 has 432 divisors, whose sum is σ = 51397710264576. Its totient is φ = 8574607641600.

The previous prime is 21620535049567. The next prime is 21620535049583. The reversal of 21620535049575 is 57594053502612.

21620535049575 is a `hidden beast` number, since 2 + 1 + 6 + 20 + 5 + 3 + 5 + 0 + 49 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (21620535049567) and next prime (21620535049583).

It is not a de Polignac number, because 21620535049575 - 2³ = 21620535049567 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1235662227 + ... + 1235679723.

It is an arithmetic number, because the mean of its divisors is an integer number (118976181168).

Almost surely, 2^{21620535049575} is an apocalyptic number.

21620535049575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21620535049575 is an abundant number, since it is smaller than the sum of its proper divisors (29777175215001).

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

21620535049575 is a wasteful number, since it uses less digits than its factorization.

21620535049575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 17989 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 21620535049575 in words is "twenty-one trillion, six hundred twenty billion, five hundred thirty-five million, forty-nine thousand, five hundred seventy-five".