78100783200000 has 1296 divisors, whose sum is σ = 318430092419712. Its totient is φ = 18933004800000.

The previous prime is 78100783199987. The next prime is 78100783200053. The reversal of 78100783200000 is 238700187.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2138381739 + ... + 2138418261.

Almost surely, 2^{78100783200000} 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 78100783200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159215046209856).

78100783200000 is an abundant number, since it is smaller than the sum of its proper divisors (240329309219712).

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

78100783200000 is an frugal number, since it uses more digits than its factorization.

78100783200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36590 (or 36544 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 78100783200000 in words is "seventy-eight trillion, one hundred billion, seven hundred eighty-three million, two hundred thousand".