52178751398400 has 2880 divisors, whose sum is σ = 209541744720000. Its totient is φ = 11390445158400.

The previous prime is 52178751398351. The next prime is 52178751398413. The reversal of 52178751398400 is 489315787125.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 227854809486 + ... + 227854809714.

It is an arithmetic number, because the mean of its divisors is an integer number (72757550250).

Almost surely, 2^{52178751398400} is an apocalyptic number.

52178751398400 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 52178751398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104770872360000).

52178751398400 is an abundant number, since it is smaller than the sum of its proper divisors (157362993321600).

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

52178751398400 is a wasteful number, since it uses less digits than its factorization.

52178751398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 52178751398400 in words is "fifty-two trillion, one hundred seventy-eight billion, seven hundred fifty-one million, three hundred ninety-eight thousand, four hundred".