78146291055360 has 432 divisors, whose sum is σ = 283180877521920. Its totient is φ = 18333437337600.

The previous prime is 78146291055289. The next prime is 78146291055499. The reversal of 78146291055360 is 6355019264187.

It is a super-2 number, since 2×78146291055360² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78146291055360.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11691151 + ... + 17116529.

It is an arithmetic number, because the mean of its divisors is an integer number (655511290560).

It is a 1-persistent number, because it is pandigital, but 2⋅78146291055360 = 156292582110720 is not.

Almost surely, 2^{78146291055360} 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 78146291055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141590438760960).

78146291055360 is an abundant number, since it is smaller than the sum of its proper divisors (205034586466560).

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

78146291055360 is a wasteful number, since it uses less digits than its factorization.

78146291055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425456 (or 5425431 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 78146291055360 in words is "seventy-eight trillion, one hundred forty-six billion, two hundred ninety-one million, fifty-five thousand, three hundred sixty".