20077590252384 has 192 divisors, whose sum is σ = 66934007078400. Its totient is φ = 5735708112384.

The previous prime is 20077590252373. The next prime is 20077590252403. The reversal of 20077590252384 is 48325209577002.

20077590252384 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 7 + 5 + 9 + 0 + 252 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20077590252384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47137779 + ... + 47561805.

It is an arithmetic number, because the mean of its divisors is an integer number (348614620200).

Almost surely, 2^{20077590252384} is an apocalyptic number.

20077590252384 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 20077590252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33467003539200).

20077590252384 is an abundant number, since it is smaller than the sum of its proper divisors (46856416826016).

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

20077590252384 is a wasteful number, since it uses less digits than its factorization.

20077590252384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431882 (or 431868 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 20077590252384 in words is "twenty trillion, seventy-seven billion, five hundred ninety million, two hundred fifty-two thousand, three hundred eighty-four".