36009026150400 has 2352 divisors, whose sum is σ = 140685859100160. Its totient is φ = 9129944678400.

The previous prime is 36009026150381. The next prime is 36009026150401. The reversal of 36009026150400 is 405162090063.

It is a happy number.

36009026150400 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 90 + 2 + 61 + 504 + 0 + 0 = 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 (36009026150401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 455810457561 + ... + 455810457639.

Almost surely, 2^{36009026150400} is an apocalyptic number.

36009026150400 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 36009026150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70342929550080).

36009026150400 is an abundant number, since it is smaller than the sum of its proper divisors (104676832949760).

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

36009026150400 is an frugal number, since it uses more digits than its factorization.

36009026150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36009026150400 in words is "thirty-six trillion, nine billion, twenty-six million, one hundred fifty thousand, four hundred".