78350162682880 has 176 divisors, whose sum is σ = 205570203346944. Its totient is φ = 28416571473920.

The previous prime is 78350162682823. The next prime is 78350162682919. The reversal of 78350162682880 is 8828626105387.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×78350162682880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19754424 + ... + 23386696.

Almost surely, 2^{78350162682880} 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 78350162682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102785101673472).

78350162682880 is an abundant number, since it is smaller than the sum of its proper divisors (127220040664064).

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

78350162682880 is a wasteful number, since it uses less digits than its factorization.

78350162682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632692 (or 3632674 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 78350162682880 in words is "seventy-eight trillion, three hundred fifty billion, one hundred sixty-two million, six hundred eighty-two thousand, eight hundred eighty".