78225071400000 has 2016 divisors, whose sum is σ = 332292011950080. Its totient is φ = 17216064000000.

The previous prime is 78225071399911. The next prime is 78225071400037. The reversal of 78225071400000 is 417052287.

78225071400000 is a `hidden beast` number, since 7 + 8 + 2 + 2 + 507 + 140 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×78225071400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105852599631 + ... + 105852600369.

It is an arithmetic number, because the mean of its divisors is an integer number (164827386880).

Almost surely, 2^{78225071400000} is an apocalyptic number.

78225071400000 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 78225071400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166146005975040).

78225071400000 is an abundant number, since it is smaller than the sum of its proper divisors (254066940550080).

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

78225071400000 is a wasteful number, since it uses less digits than its factorization.

78225071400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 78225071400000 its reverse (417052287), we get a palindrome (78225488452287).

The spelling of 78225071400000 in words is "seventy-eight trillion, two hundred twenty-five billion, seventy-one million, four hundred thousand".