78921258897600 has 2352 divisors, whose sum is σ = 342286018292736. Its totient is φ = 17526233088000.

The previous prime is 78921258897563. The next prime is 78921258897601. The reversal of 78921258897600 is 679885212987.

78921258897600 is a `hidden beast` number, since 7 + 8 + 9 + 2 + 1 + 2 + 5 + 8 + 8 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (78921258897601) by changing a digit.

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, 144280180527 + ... + 144280181073.

Almost surely, 2^{78921258897600} is an apocalyptic number.

78921258897600 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 78921258897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171143009146368).

78921258897600 is an abundant number, since it is smaller than the sum of its proper divisors (263364759395136).

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

78921258897600 is a wasteful number, since it uses less digits than its factorization.

78921258897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 78921258897600 in words is "seventy-eight trillion, nine hundred twenty-one billion, two hundred fifty-eight million, eight hundred ninety-seven thousand, six hundred".