78250475520 has 1152 divisors, whose sum is σ = 341573662800. Its totient is φ = 16944463872.

The previous prime is 78250475491. The next prime is 78250475557. The reversal of 78250475520 is 2557405287.

78250475520 is a `hidden beast` number, since 7 + 8 + 2 + 50 + 4 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78250475520² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118446071 + ... + 4118446089.

Almost surely, 2^78250475520 is an apocalyptic number.

78250475520 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 78250475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786831400).

78250475520 is an abundant number, since it is smaller than the sum of its proper divisors (263323187280).

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

78250475520 is an equidigital number, since it uses as much as digits as its factorization.

78250475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 78250475520 in words is "seventy-eight billion, two hundred fifty million, four hundred seventy-five thousand, five hundred twenty".