78249600000 has 1584 divisors, whose sum is σ = 349247021760. Its totient is φ = 16588800000.

The previous prime is 78249599951. The next prime is 78249600047. The reversal of 78249600000 is 694287.

78249600000 is a `hidden beast` number, since 7 + 8 + 2 + 49 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×78249600000² (a number of 23 digits) contains 22 as substring.

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, 4118399991 + ... + 4118400009.

Almost surely, 2^78249600000 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 78249600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174623510880).

78249600000 is an abundant number, since it is smaller than the sum of its proper divisors (270997421760).

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

78249600000 is a wasteful number, since it uses less digits than its factorization.

78249600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78249600000 in words is "seventy-eight billion, two hundred forty-nine million, six hundred thousand".