78248596456800 has 3456 divisors, whose sum is σ = 367906820456448. Its totient is φ = 15177756672000.

The previous prime is 78248596456777. The next prime is 78248596456817. The reversal of 78248596456800 is 865469584287.

78248596456800 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 8 + 5 + 96 + 456 + 80 + 0 = 666.

It is a super-2 number, since 2×78248596456800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58966537737 + ... + 58966539063.

It is an arithmetic number, because the mean of its divisors is an integer number (106454519808).

Almost surely, 2^{78248596456800} is an apocalyptic number.

78248596456800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78248596456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183953410228224).

78248596456800 is an abundant number, since it is smaller than the sum of its proper divisors (289658223999648).

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

78248596456800 is a wasteful number, since it uses less digits than its factorization.

78248596456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 78248596456800 in words is "seventy-eight trillion, two hundred forty-eight billion, five hundred ninety-six million, four hundred fifty-six thousand, eight hundred".