36252803160 has 192 divisors, whose sum is σ = 135023616000. Its totient is φ = 8263565568.

The previous prime is 36252803141. The next prime is 36252803173. The reversal of 36252803160 is 6130825263.

It is a happy number.

36252803160 is a `hidden beast` number, since 3 + 62 + 5 + 280 + 316 + 0 = 666.

It is a super-3 number, since 3×36252803160³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905241 + ... + 944439.

It is an arithmetic number, because the mean of its divisors is an integer number (703248000).

Almost surely, 2^36252803160 is an apocalyptic number.

36252803160 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 36252803160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67511808000).

36252803160 is an abundant number, since it is smaller than the sum of its proper divisors (98770812840).

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

36252803160 is a wasteful number, since it uses less digits than its factorization.

36252803160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39590 (or 39583 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36252803160 in words is "thirty-six billion, two hundred fifty-two million, eight hundred three thousand, one hundred sixty".