53754978816 has 720 divisors, whose sum is σ = 205654033728. Its totient is φ = 13341081600.

The previous prime is 53754978779. The next prime is 53754978899. The reversal of 53754978816 is 61887945735.

53754978816 is a `hidden beast` number, since 5 + 3 + 7 + 549 + 7 + 8 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57124906 + ... + 57125846.

Almost surely, 2^53754978816 is an apocalyptic number.

53754978816 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 53754978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102827016864).

53754978816 is an abundant number, since it is smaller than the sum of its proper divisors (151899054912).

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

53754978816 is a wasteful number, since it uses less digits than its factorization.

53754978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 987 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 53754978816 in words is "fifty-three billion, seven hundred fifty-four million, nine hundred seventy-eight thousand, eight hundred sixteen".