78150998016 has 960 divisors, whose sum is σ = 298343485440. Its totient is φ = 19826933760.

The previous prime is 78150997973. The next prime is 78150998077. The reversal of 78150998016 is 61089905187.

It is a super-2 number, since 2×78150998016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467969965 + ... + 467970131.

It is an arithmetic number, because the mean of its divisors is an integer number (310774464).

Almost surely, 2^78150998016 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 78150998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149171742720).

78150998016 is an abundant number, since it is smaller than the sum of its proper divisors (220192487424).

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

78150998016 is a wasteful number, since it uses less digits than its factorization.

78150998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 78150998016 in words is "seventy-eight billion, one hundred fifty million, nine hundred ninety-eight thousand, sixteen".