36131257890 has 288 divisors, whose sum is σ = 118313395200. Its totient is φ = 7582595328.

The previous prime is 36131257867. The next prime is 36131257933. The reversal of 36131257890 is 9875213163.

36131257890 is a `hidden beast` number, since 3 + 61 + 3 + 12 + 578 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 11407087 + ... + 11410253.

It is an arithmetic number, because the mean of its divisors is an integer number (410810400).

Almost surely, 2^36131257890 is an apocalyptic number.

36131257890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36131257890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59156697600).

36131257890 is an abundant number, since it is smaller than the sum of its proper divisors (82182137310).

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

36131257890 is a wasteful number, since it uses less digits than its factorization.

36131257890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 36131257890 in words is "thirty-six billion, one hundred thirty-one million, two hundred fifty-seven thousand, eight hundred ninety".