36047157120 has 768 divisors, whose sum is σ = 141466590720. Its totient is φ = 8396144640.

The previous prime is 36047157103. The next prime is 36047157127. The reversal of 36047157120 is 2175174063.

It is a happy number.

36047157120 is a `hidden beast` number, since 3 + 60 + 4 + 7 + 1 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36047157127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123027694 + ... + 123027986.

It is an arithmetic number, because the mean of its divisors is an integer number (184201290).

Almost surely, 2^36047157120 is an apocalyptic number.

36047157120 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 36047157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70733295360).

36047157120 is an abundant number, since it is smaller than the sum of its proper divisors (105419433600).

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

36047157120 is a wasteful number, since it uses less digits than its factorization.

36047157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 36047157120 in words is "thirty-six billion, forty-seven million, one hundred fifty-seven thousand, one hundred twenty".