53374072053456 has 960 divisors, whose sum is σ = 196982186618880. Its totient is φ = 13070368604160.

The previous prime is 53374072053443. The next prime is 53374072053517. The reversal of 53374072053456 is 65435027047335.

53374072053456 is a `hidden beast` number, since 5 + 3 + 3 + 74 + 0 + 72 + 0 + 53 + 456 = 666.

53374072053456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69047958286 + ... + 69047959058.

It is an arithmetic number, because the mean of its divisors is an integer number (205189777728).

Almost surely, 2^{53374072053456} is an apocalyptic number.

53374072053456 is a gapful number since it is divisible by the number (56) 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 53374072053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98491093309440).

53374072053456 is an abundant number, since it is smaller than the sum of its proper divisors (143608114565424).

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

53374072053456 is a wasteful number, since it uses less digits than its factorization.

53374072053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 54.

The spelling of 53374072053456 in words is "fifty-three trillion, three hundred seventy-four billion, seventy-two million, fifty-three thousand, four hundred fifty-six".