78533597520 has 480 divisors, whose sum is σ = 328360055040. Its totient is φ = 17169546240.

The previous prime is 78533597459. The next prime is 78533597537. The reversal of 78533597520 is 2579533587.

78533597520 is a `hidden beast` number, since 7 + 8 + 533 + 59 + 7 + 52 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2418190 + ... + 2450450.

It is an arithmetic number, because the mean of its divisors is an integer number (684083448).

Almost surely, 2^78533597520 is an apocalyptic number.

78533597520 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 78533597520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164180027520).

78533597520 is an abundant number, since it is smaller than the sum of its proper divisors (249826457520).

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

78533597520 is a wasteful number, since it uses less digits than its factorization.

78533597520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32320 (or 32301 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 78533597520 in words is "seventy-eight billion, five hundred thirty-three million, five hundred ninety-seven thousand, five hundred twenty".