53128955750400 has 864 divisors, whose sum is σ = 202047046208280. Its totient is φ = 13295859793920.

The previous prime is 53128955750399. The next prime is 53128955750443. The reversal of 53128955750400 is 405755982135.

53128955750400 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 89 + 5 + 57 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 19466308740096 + 33662647010304 = 4412064^2 + 5801952^2 .

It is a super-2 number, since 2×53128955750400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2765251194 + ... + 2765270406.

Almost surely, 2^{53128955750400} is an apocalyptic number.

53128955750400 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 53128955750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101023523104140).

53128955750400 is an abundant number, since it is smaller than the sum of its proper divisors (148918090457880).

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

53128955750400 is a wasteful number, since it uses less digits than its factorization.

53128955750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19621 (or 19593 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 53128955750400 in words is "fifty-three trillion, one hundred twenty-eight billion, nine hundred fifty-five million, seven hundred fifty thousand, four hundred".