78252722157120 has 448 divisors, whose sum is σ = 307640113330176. Its totient is φ = 16442705018880.

The previous prime is 78252722157119. The next prime is 78252722157133. The reversal of 78252722157120 is 2175122725287.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×78252722157120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3052626 + ... + 12877265.

Almost surely, 2^{78252722157120} is an apocalyptic number.

78252722157120 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 78252722157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153820056665088).

78252722157120 is an abundant number, since it is smaller than the sum of its proper divisors (229387391173056).

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

78252722157120 is a wasteful number, since it uses less digits than its factorization.

78252722157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15929978 (or 15929968 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 51.

The spelling of 78252722157120 in words is "seventy-eight trillion, two hundred fifty-two billion, seven hundred twenty-two million, one hundred fifty-seven thousand, one hundred twenty".