97776611136 has 140 divisors (see below), whose sum is σ = 293812061092. Its totient is φ = 32145610752.

The previous prime is 97776611087. The next prime is 97776611143. The reversal of 97776611136 is 63111667779.

97776611136 is a `hidden beast` number, since 9 + 7 + 7 + 7 + 6 + 611 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42107040000 + 55669571136 = 205200^2 + 235944^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249246 + ... + 507618.

Almost surely, 2^97776611136 is an apocalyptic number.

97776611136 is a gapful number since it is divisible by the number (96) 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 97776611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146906030546).

97776611136 is an abundant number, since it is smaller than the sum of its proper divisors (196035449956).

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

97776611136 is a wasteful number, since it uses less digits than its factorization.

97776611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258470 (or 258451 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The spelling of 97776611136 in words is "ninety-seven billion, seven hundred seventy-six million, six hundred eleven thousand, one hundred thirty-six".