78533312901120 has 1664 divisors, whose sum is σ = 348930120591360. Its totient is φ = 16279142400000.

The previous prime is 78533312901101. The next prime is 78533312901157. The reversal of 78533312901120 is 2110921333587.

78533312901120 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 331 + 290 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 19628419120 + ... + 19628423120.

Almost surely, 2^{78533312901120} is an apocalyptic number.

78533312901120 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 78533312901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174465060295680).

78533312901120 is an abundant number, since it is smaller than the sum of its proper divisors (270396807690240).

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

78533312901120 is a wasteful number, since it uses less digits than its factorization.

78533312901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 78533312901120 in words is "seventy-eight trillion, five hundred thirty-three billion, three hundred twelve million, nine hundred one thousand, one hundred twenty".