52698340800 has 1512 divisors, whose sum is σ = 239333820544. Its totient is φ = 11167580160.

The previous prime is 52698340687. The next prime is 52698340813. The reversal of 52698340800 is 804389625.

52698340800 is a `hidden beast` number, since 526 + 9 + 8 + 3 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 786542367 + ... + 786542433.

Almost surely, 2^52698340800 is an apocalyptic number.

52698340800 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 52698340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119666910272).

52698340800 is an abundant number, since it is smaller than the sum of its proper divisors (186635479744).

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

52698340800 is a wasteful number, since it uses less digits than its factorization.

52698340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 52698340800 in words is "fifty-two billion, six hundred ninety-eight million, three hundred forty thousand, eight hundred".