78650131248000 has 4608 divisors, whose sum is σ = 346981527360000. Its totient is φ = 17448597504000.

The previous prime is 78650131247999. The next prime is 78650131248043. The reversal of 78650131248000 is 84213105687.

78650131248000 is a `hidden beast` number, since 78 + 6 + 501 + 31 + 2 + 48 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1333053071971 + ... + 1333053072029.

It is an arithmetic number, because the mean of its divisors is an integer number (75299810625).

Almost surely, 2^{78650131248000} 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 78650131248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173490763680000).

78650131248000 is an abundant number, since it is smaller than the sum of its proper divisors (268331396112000).

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

78650131248000 is a wasteful number, since it uses less digits than its factorization.

78650131248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78650131248000 in words is "seventy-eight trillion, six hundred fifty billion, one hundred thirty-one million, two hundred forty-eight thousand".