78053811530240 has 960 divisors, whose sum is σ = 234076069244160. Its totient is φ = 24440371937280.

The previous prime is 78053811530221. The next prime is 78053811530309. The reversal of 78053811530240 is 4203511835087.

78053811530240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 167138782487 + ... + 167138782953.

It is an arithmetic number, because the mean of its divisors is an integer number (243829238796).

Almost surely, 2^{78053811530240} is an apocalyptic number.

78053811530240 is a gapful number since it is divisible by the number (70) 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 78053811530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117038034622080).

78053811530240 is an abundant number, since it is smaller than the sum of its proper divisors (156022257713920).

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

78053811530240 is a wasteful number, since it uses less digits than its factorization.

78053811530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 78053811530240 in words is "seventy-eight trillion, fifty-three billion, eight hundred eleven million, five hundred thirty thousand, two hundred forty".