53023428590400 has 504 divisors, whose sum is σ = 199580743514880. Its totient is φ = 13305359646720.

The previous prime is 53023428590387. The next prime is 53023428590437. The reversal of 53023428590400 is 409582432035.

53023428590400 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 34 + 28 + 590 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×53023428590400² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1558624591 + ... + 1558658609.

It is an arithmetic number, because the mean of its divisors is an integer number (395993538720).

Almost surely, 2^{53023428590400} is an apocalyptic number.

53023428590400 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 53023428590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99790371757440).

53023428590400 is an abundant number, since it is smaller than the sum of its proper divisors (146557314924480).

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

53023428590400 is a wasteful number, since it uses less digits than its factorization.

53023428590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40431 (or 40413 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53023428590400 in words is "fifty-three trillion, twenty-three billion, four hundred twenty-eight million, five hundred ninety thousand, four hundred".