53078268672 has 864 divisors, whose sum is σ = 193741766400. Its totient is φ = 13735526400.

The previous prime is 53078268667. The next prime is 53078268731. The reversal of 53078268672 is 27686287035.

53078268672 is a `hidden beast` number, since 5 + 307 + 8 + 268 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381857979 + ... + 381858117.

Almost surely, 2^53078268672 is an apocalyptic number.

53078268672 is a gapful number since it is divisible by the number (52) 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 53078268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96870883200).

53078268672 is an abundant number, since it is smaller than the sum of its proper divisors (140663497728).

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

53078268672 is a wasteful number, since it uses less digits than its factorization.

53078268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 53078268672 in words is "fifty-three billion, seventy-eight million, two hundred sixty-eight thousand, six hundred seventy-two".