78148769587200 has 1344 divisors, whose sum is σ = 319175021491200. Its totient is φ = 18615553228800.

The previous prime is 78148769587199. The next prime is 78148769587201. The reversal of 78148769587200 is 278596784187.

78148769587200 is a `hidden beast` number, since 7 + 8 + 1 + 487 + 69 + 5 + 87 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78148769587199) and next prime (78148769587201).

It is a super-2 number, since 2×78148769587200² (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 not an unprimeable number, because it can be changed into a prime (78148769587201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2228411266 + ... + 2228446334.

It is an arithmetic number, because the mean of its divisors is an integer number (237481414800).

Almost surely, 2^{78148769587200} 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 78148769587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159587510745600).

78148769587200 is an abundant number, since it is smaller than the sum of its proper divisors (241026251904000).

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

78148769587200 is a wasteful number, since it uses less digits than its factorization.

78148769587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35158 (or 35123 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 78148769587200 in words is "seventy-eight trillion, one hundred forty-eight billion, seven hundred sixty-nine million, five hundred eighty-seven thousand, two hundred".