78090041952000 has 2880 divisors, whose sum is σ = 331353061079040. Its totient is φ = 18104020992000.

The previous prime is 78090041951917. The next prime is 78090041952007. The reversal of 78090041952000 is 25914009087.

78090041952000 is a `hidden beast` number, since 7 + 80 + 9 + 0 + 0 + 41 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78090041952007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 181183391785 + ... + 181183392215.

It is an arithmetic number, because the mean of its divisors is an integer number (115053146208).

Almost surely, 2^{78090041952000} 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 78090041952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165676530539520).

78090041952000 is an abundant number, since it is smaller than the sum of its proper divisors (253263019127040).

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

78090041952000 is a wasteful number, since it uses less digits than its factorization.

78090041952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 78090041952000 in words is "seventy-eight trillion, ninety billion, forty-one million, nine hundred fifty-two thousand".