20098757672784 has 360 divisors, whose sum is σ = 67603031129088. Its totient is φ = 5553830499840.

The previous prime is 20098757672723. The next prime is 20098757672827. The reversal of 20098757672784 is 48727675789002.

It is a happy number.

20098757672784 is a `hidden beast` number, since 20 + 0 + 9 + 8 + 7 + 576 + 7 + 27 + 8 + 4 = 666.

It is a super-2 number, since 2×20098757672784² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43368529 + ... + 43829519.

Almost surely, 2^{20098757672784} is an apocalyptic number.

20098757672784 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 20098757672784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33801515564544).

20098757672784 is an abundant number, since it is smaller than the sum of its proper divisors (47504273456304).

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

20098757672784 is a wasteful number, since it uses less digits than its factorization.

20098757672784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461223 (or 461207 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 20098757672784 in words is "twenty trillion, ninety-eight billion, seven hundred fifty-seven million, six hundred seventy-two thousand, seven hundred eighty-four".