78254191411200 has 1920 divisors, whose sum is σ = 339516840960000. Its totient is φ = 17292695961600.

The previous prime is 78254191411183. The next prime is 78254191411229. The reversal of 78254191411200 is 211419145287.

It is a happy number.

78254191411200 is a `hidden beast` number, since 7 + 8 + 2 + 5 + 419 + 14 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×78254191411200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76795084291 + ... + 76795085309.

It is an arithmetic number, because the mean of its divisors is an integer number (176831688000).

Almost surely, 2^{78254191411200} is an apocalyptic number.

78254191411200 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 78254191411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169758420480000).

78254191411200 is an abundant number, since it is smaller than the sum of its proper divisors (261262649548800).

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

78254191411200 is an equidigital number, since it uses as much as digits as its factorization.

78254191411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 78254191411200 in words is "seventy-eight trillion, two hundred fifty-four billion, one hundred ninety-one million, four hundred eleven thousand, two hundred".