20106762264576 has 1568 divisors, whose sum is σ = 70153835653440. Its totient is φ = 5706717069312.

The previous prime is 20106762264569. The next prime is 20106762264649. The reversal of 20106762264576 is 67546226760102.

20106762264576 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 7 + 6 + 2 + 2 + 64 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63428271970 + ... + 63428272286.

Almost surely, 2^{20106762264576} is an apocalyptic number.

20106762264576 is a gapful number since it is divisible by the number (26) 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 20106762264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35076917826720).

20106762264576 is an abundant number, since it is smaller than the sum of its proper divisors (50047073388864).

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

20106762264576 is an equidigital number, since it uses as much as digits as its factorization.

20106762264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 20106762264576 in words is "twenty trillion, one hundred six billion, seven hundred sixty-two million, two hundred sixty-four thousand, five hundred seventy-six".