52078689600 has 504 divisors, whose sum is σ = 200029206240. Its totient is φ = 11827630080.

The previous prime is 52078689589. The next prime is 52078689617. The reversal of 52078689600 is 698687025.

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, 42100182 + ... + 42101418.

Almost surely, 2^52078689600 is an apocalyptic number.

52078689600 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 52078689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100014603120).

52078689600 is an abundant number, since it is smaller than the sum of its proper divisors (147950516640).

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

52078689600 is a wasteful number, since it uses less digits than its factorization.

52078689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 52078689600 in words is "fifty-two billion, seventy-eight million, six hundred eighty-nine thousand, six hundred".