35681398560 has 192 divisors, whose sum is σ = 126933125760. Its totient is φ = 9358986240.

The previous prime is 35681398559. The next prime is 35681398573. The reversal of 35681398560 is 6589318653.

35681398560 is a `hidden beast` number, since 3 + 5 + 68 + 13 + 9 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35681398497 and 35681398506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195819 + ... + 331221.

It is an arithmetic number, because the mean of its divisors is an integer number (661110030).

Almost surely, 2^35681398560 is an apocalyptic number.

35681398560 is a gapful number since it is divisible by the number (30) 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 35681398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63466562880).

35681398560 is an abundant number, since it is smaller than the sum of its proper divisors (91251727200).

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

35681398560 is a wasteful number, since it uses less digits than its factorization.

35681398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135488 (or 135474 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 35681398560 in words is "thirty-five billion, six hundred eighty-one million, three hundred ninety-eight thousand, five hundred sixty".