78211042560 has 576 divisors, whose sum is σ = 320108060160. Its totient is φ = 17712414720.

The previous prime is 78211042519. The next prime is 78211042577. The reversal of 78211042560 is 6524011287.

78211042560 is a `hidden beast` number, since 7 + 82 + 1 + 10 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×78211042560² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27335530 + ... + 27338390.

It is an arithmetic number, because the mean of its divisors is an integer number (555743160).

Almost surely, 2^78211042560 is an apocalyptic number.

78211042560 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 78211042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160054030080).

78211042560 is an abundant number, since it is smaller than the sum of its proper divisors (241897017600).

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

78211042560 is a wasteful number, since it uses less digits than its factorization.

78211042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 78211042560 in words is "seventy-eight billion, two hundred eleven million, forty-two thousand, five hundred sixty".