75978271284048 has 240 divisors, whose sum is σ = 245717666812800. Its totient is φ = 21467529999360.

The previous prime is 75978271284043. The next prime is 75978271284121. The reversal of 75978271284048 is 84048217287957.

75978271284048 is a `hidden beast` number, since 7 + 5 + 9 + 78 + 27 + 128 + 404 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75978271284043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31494958 + ... + 33821426.

It is an arithmetic number, because the mean of its divisors is an integer number (1023823611720).

Almost surely, 2^{75978271284048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75978271284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122858833406400).

75978271284048 is an abundant number, since it is smaller than the sum of its proper divisors (169739395528752).

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

75978271284048 is a wasteful number, since it uses less digits than its factorization.

75978271284048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326850 (or 2326841 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 75978271284048 in words is "seventy-five trillion, nine hundred seventy-eight billion, two hundred seventy-one million, two hundred eighty-four thousand, forty-eight".