53528925542400 has 5184 divisors, whose sum is σ = 257907067891200. Its totient is φ = 10362735820800.

The previous prime is 53528925542383. The next prime is 53528925542447. The reversal of 53528925542400 is 424552982535.

53528925542400 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 8 + 92 + 5 + 542 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 601448601556 + ... + 601448601644.

It is an arithmetic number, because the mean of its divisors is an integer number (49750591800).

Almost surely, 2^{53528925542400} is an apocalyptic number.

53528925542400 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 53528925542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128953533945600).

53528925542400 is an abundant number, since it is smaller than the sum of its proper divisors (204378142348800).

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

53528925542400 is a wasteful number, since it uses less digits than its factorization.

53528925542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 53528925542400 in words is "fifty-three trillion, five hundred twenty-eight billion, nine hundred twenty-five million, five hundred forty-two thousand, four hundred".