78552355924224 has 3024 divisors, whose sum is σ = 318851183040768. Its totient is φ = 19060515274752.

The previous prime is 78552355924219. The next prime is 78552355924253. The reversal of 78552355924224 is 42242955325587.

78552355924224 is a `hidden beast` number, since 7 + 8 + 5 + 5 + 2 + 35 + 592 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-3 number, since 3×78552355924224³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 94984710499 + ... + 94984711325.

It is an arithmetic number, because the mean of its divisors is an integer number (105440206032).

Almost surely, 2^{78552355924224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78552355924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159425591520384).

78552355924224 is an abundant number, since it is smaller than the sum of its proper divisors (240298827116544).

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

78552355924224 is a wasteful number, since it uses less digits than its factorization.

78552355924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 916 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 63.

The spelling of 78552355924224 in words is "seventy-eight trillion, five hundred fifty-two billion, three hundred fifty-five million, nine hundred twenty-four thousand, two hundred twenty-four".