78774106521600 has 2040 divisors, whose sum is σ = 351154182551040. Its totient is φ = 17054029578240.

The previous prime is 78774106521587. The next prime is 78774106521611. The reversal of 78774106521600 is 612560147787.

78774106521600 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 4 + 1 + 0 + 6 + 5 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17650480969 + ... + 17650485431.

Almost surely, 2^{78774106521600} is an apocalyptic number.

78774106521600 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 78774106521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577091275520).

78774106521600 is an abundant number, since it is smaller than the sum of its proper divisors (272380076029440).

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

78774106521600 is an equidigital number, since it uses as much as digits as its factorization.

78774106521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 78774106521600 in words is "seventy-eight trillion, seven hundred seventy-four billion, one hundred six million, five hundred twenty-one thousand, six hundred".