20577256190400 has 1344 divisors, whose sum is σ = 86949302888448. Its totient is φ = 4144359997440.

The previous prime is 20577256190377. The next prime is 20577256190401. The reversal of 20577256190400 is 409165277502.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20577256190400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577256190401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856552789 + ... + 856576811.

It is an arithmetic number, because the mean of its divisors is an integer number (64694421792).

Almost surely, 2^{20577256190400} is an apocalyptic number.

20577256190400 is a gapful number since it is divisible by the number (20) 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 20577256190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43474651444224).

20577256190400 is an abundant number, since it is smaller than the sum of its proper divisors (66372046698048).

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

20577256190400 is a wasteful number, since it uses less digits than its factorization.

20577256190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24158 (or 24143 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 20577256190400 in words is "twenty trillion, five hundred seventy-seven billion, two hundred fifty-six million, one hundred ninety thousand, four hundred".