36251829120 has 256 divisors, whose sum is σ = 125402618880. Its totient is φ = 8854609920.

The previous prime is 36251829091. The next prime is 36251829139. The reversal of 36251829120 is 2192815263.

It is a super-2 number, since 2×36251829120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264217 + ... + 3275303.

It is an arithmetic number, because the mean of its divisors is an integer number (489853980).

Almost surely, 2^36251829120 is an apocalyptic number.

36251829120 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 36251829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62701309440).

36251829120 is an abundant number, since it is smaller than the sum of its proper divisors (89150789760).

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

36251829120 is a wasteful number, since it uses less digits than its factorization.

36251829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 36251829120 in words is "thirty-six billion, two hundred fifty-one million, eight hundred twenty-nine thousand, one hundred twenty".