53445155502400 has 336 divisors, whose sum is σ = 133518143041920. Its totient is φ = 21054315110400.

The previous prime is 53445155502391. The next prime is 53445155502407. The reversal of 53445155502400 is 420555154435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53445155502407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35370717645 + ... + 35370719155.

It is an arithmetic number, because the mean of its divisors is an integer number (397375425720).

Almost surely, 2^{53445155502400} is an apocalyptic number.

53445155502400 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 53445155502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66759071520960).

53445155502400 is an abundant number, since it is smaller than the sum of its proper divisors (80072987539520).

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

53445155502400 is a wasteful number, since it uses less digits than its factorization.

53445155502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 53445155502400 in words is "fifty-three trillion, four hundred forty-five billion, one hundred fifty-five million, five hundred two thousand, four hundred".