36251442796800 has 3240 divisors, whose sum is σ = 157304926263968. Its totient is φ = 7343839641600.

The previous prime is 36251442796799. The next prime is 36251442796841. The reversal of 36251442796800 is 869724415263.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 373726214352 + ... + 373726214448.

It is a 1-persistent number, because it is pandigital, but 2⋅36251442796800 = 72502885593600 is not.

Almost surely, 2^{36251442796800} is an apocalyptic number.

36251442796800 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 36251442796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78652463131984).

36251442796800 is an abundant number, since it is smaller than the sum of its proper divisors (121053483467168).

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

36251442796800 is an equidigital number, since it uses as much as digits as its factorization.

36251442796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 36251442796800 in words is "thirty-six trillion, two hundred fifty-one billion, four hundred forty-two million, seven hundred ninety-six thousand, eight hundred".