523777216672400 has 120 divisors (see below), whose sum is σ = 1279928262562560. Its totient is φ = 205923624133120.

The previous prime is 523777216672331. The next prime is 523777216672417. The reversal of 523777216672400 is 4276612777325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 523777216672400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132405569 + ... + 136304031.

It is an arithmetic number, because the mean of its divisors is an integer number (10666068854688).

Almost surely, 2^{523777216672400} is an apocalyptic number.

523777216672400 is a gapful number since it is divisible by the number (50) 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 523777216672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639964131281280).

523777216672400 is an abundant number, since it is smaller than the sum of its proper divisors (756151045890160).

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

523777216672400 is a wasteful number, since it uses less digits than its factorization.

523777216672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904233 (or 3904222 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 59.

The spelling of 523777216672400 in words is "five hundred twenty-three trillion, seven hundred seventy-seven billion, two hundred sixteen million, six hundred seventy-two thousand, four hundred".