53576678400 has 792 divisors, whose sum is σ = 215286756480. Its totient is φ = 11694735360.

The previous prime is 53576678399. The next prime is 53576678417. The reversal of 53576678400 is 487667535.

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, 86553291 + ... + 86553909.

Almost surely, 2^53576678400 is an apocalyptic number.

53576678400 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 53576678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107643378240).

53576678400 is an abundant number, since it is smaller than the sum of its proper divisors (161710078080).

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

53576678400 is a wasteful number, since it uses less digits than its factorization.

53576678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 53576678400 in words is "fifty-three billion, five hundred seventy-six million, six hundred seventy-eight thousand, four hundred".