78511356000 has 1152 divisors, whose sum is σ = 360601113600. Its totient is φ = 16298496000.

The previous prime is 78511355987. The next prime is 78511356023. The reversal of 78511356000 is 65311587.

78511356000 is a `hidden beast` number, since 7 + 8 + 5 + 11 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74843476 + ... + 74844524.

It is an arithmetic number, because the mean of its divisors is an integer number (313021800).

Almost surely, 2^78511356000 is an apocalyptic number.

78511356000 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 78511356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300556800).

78511356000 is an abundant number, since it is smaller than the sum of its proper divisors (282089757600).

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

78511356000 is a wasteful number, since it uses less digits than its factorization.

78511356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 78511356000 its reverse (65311587), we get a palindrome (78576667587).

The spelling of 78511356000 in words is "seventy-eight billion, five hundred eleven million, three hundred fifty-six thousand".