20475617750784 has 432 divisors, whose sum is σ = 70580919225600. Its totient is φ = 5838116788224.

The previous prime is 20475617750773. The next prime is 20475617750837. The reversal of 20475617750784 is 48705771657402.

It is a happy number.

20475617750784 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 5 + 617 + 7 + 5 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×20475617750784² (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 a congruent number.

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, 164878987 + ... + 165003125.

Almost surely, 2^{20475617750784} is an apocalyptic number.

20475617750784 is a gapful number since it is divisible by the number (24) 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 20475617750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290459612800).

20475617750784 is an abundant number, since it is smaller than the sum of its proper divisors (50105301474816).

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

20475617750784 is a wasteful number, since it uses less digits than its factorization.

20475617750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124665 (or 124638 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 20475617750784 in words is "twenty trillion, four hundred seventy-five billion, six hundred seventeen million, seven hundred fifty thousand, seven hundred eighty-four".