78809934245952 has 1792 divisors, whose sum is σ = 283292484894720. Its totient is φ = 18752269713408.

The previous prime is 78809934245923. The next prime is 78809934245981. The reversal of 78809934245952 is 25954243990887.

It is an interprime number because it is at equal distance from previous prime (78809934245923) and next prime (78809934245981).

It is a super-2 number, since 2×78809934245952² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 170215840473 + ... + 170215840935.

It is an arithmetic number, because the mean of its divisors is an integer number (158087324160).

Almost surely, 2^{78809934245952} 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 78809934245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141646242447360).

78809934245952 is an abundant number, since it is smaller than the sum of its proper divisors (204482550648768).

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

78809934245952 is a wasteful number, since it uses less digits than its factorization.

78809934245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 75.

The spelling of 78809934245952 in words is "seventy-eight trillion, eight hundred nine billion, nine hundred thirty-four million, two hundred forty-five thousand, nine hundred fifty-two".