53445312144400 has 180 divisors, whose sum is σ = 140390301057264. Its totient is φ = 19391052800000.

The previous prime is 53445312144311. The next prime is 53445312144437. The reversal of 53445312144400 is 444121354435.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 35 ways as a sum of consecutive naturals, for example, 887014275 + ... + 887074525.

Almost surely, 2^{53445312144400} is an apocalyptic number.

53445312144400 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 53445312144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70195150528632).

53445312144400 is an abundant number, since it is smaller than the sum of its proper divisors (86944988912864).

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

53445312144400 is a wasteful number, since it uses less digits than its factorization.

53445312144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61178 (or 60718 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 53445312144400 its reverse (444121354435), we get a palindrome (53889433498835).

The spelling of 53445312144400 in words is "fifty-three trillion, four hundred forty-five billion, three hundred twelve million, one hundred forty-four thousand, four hundred".