78150209894400 has 2304 divisors, whose sum is σ = 316469424660480. Its totient is φ = 16628908032000.

The previous prime is 78150209894399. The next prime is 78150209894461. The reversal of 78150209894400 is 449890205187.

It is a super-2 number, since 2×78150209894400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167345202967 + ... + 167345203433.

It is an arithmetic number, because the mean of its divisors is an integer number (137356521120).

Almost surely, 2^{78150209894400} is an apocalyptic number.

78150209894400 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 78150209894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158234712330240).

78150209894400 is an abundant number, since it is smaller than the sum of its proper divisors (238319214766080).

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

78150209894400 is a wasteful number, since it uses less digits than its factorization.

78150209894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 78150209894400 in words is "seventy-eight trillion, one hundred fifty billion, two hundred nine million, eight hundred ninety-four thousand, four hundred".