78189936000 has 1024 divisors, whose sum is σ = 310154158080. Its totient is φ = 17203200000.

The previous prime is 78189935951. The next prime is 78189936001. The reversal of 78189936000 is 63998187.

It is a super-2 number, since 2×78189936000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78189936001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278255860 + ... + 278256140.

It is an arithmetic number, because the mean of its divisors is an integer number (302884920).

Almost surely, 2^78189936000 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 78189936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155077079040).

78189936000 is an abundant number, since it is smaller than the sum of its proper divisors (231964222080).

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

78189936000 is a wasteful number, since it uses less digits than its factorization.

78189936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 78189936000 in words is "seventy-eight billion, one hundred eighty-nine million, nine hundred thirty-six thousand".