36128538915840 has 1056 divisors, whose sum is σ = 157094851140864. Its totient is φ = 7772158033920.

The previous prime is 36128538915809. The next prime is 36128538915841. The reversal of 36128538915840 is 4851983582163.

36128538915840 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 8 + 538 + 9 + 1 + 58 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36128538915841) 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, 147933030 + ... + 148177050.

Almost surely, 2^{36128538915840} is an apocalyptic number.

36128538915840 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 36128538915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78547425570432).

36128538915840 is an abundant number, since it is smaller than the sum of its proper divisors (120966312225024).

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

36128538915840 is a wasteful number, since it uses less digits than its factorization.

36128538915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244085 (or 244055 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 36128538915840 in words is "thirty-six trillion, one hundred twenty-eight billion, five hundred thirty-eight million, nine hundred fifteen thousand, eight hundred forty".