77516113147200 has 7938 divisors, whose sum is σ = 401653743690906. Its totient is φ = 14582829219840.

The previous prime is 77516113147147. The next prime is 77516113147309. The reversal of 77516113147200 is 274131161577.

77516113147200 is a `hidden beast` number, since 7 + 7 + 5 + 1 + 611 + 3 + 1 + 4 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 13733783751744 + 63782329395456 = 3705912^2 + 7986384^2 .

It is a tau number, because it is divible by the number of its divisors (7938).

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 1133 ways as a sum of consecutive naturals, for example, 4079795428791 + ... + 4079795428809.

Almost surely, 2^{77516113147200} is an apocalyptic number.

77516113147200 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 77516113147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200826871845453).

77516113147200 is an abundant number, since it is smaller than the sum of its proper divisors (324137630543706).

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

77516113147200 is a wasteful number, since it uses less digits than its factorization.

77516113147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 77516113147200 in words is "seventy-seven trillion, five hundred sixteen billion, one hundred thirteen million, one hundred forty-seven thousand, two hundred".