36285125804400 has 960 divisors, whose sum is σ = 131853160857600. Its totient is φ = 8453237760000.

The previous prime is 36285125804399. The next prime is 36285125804471. The reversal of 36285125804400 is 440852158263.

It is a super-2 number, since 2×36285125804400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36285125804400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11092974765 + ... + 11092978035.

It is an arithmetic number, because the mean of its divisors is an integer number (137347042560).

Almost surely, 2^{36285125804400} is an apocalyptic number.

36285125804400 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 36285125804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65926580428800).

36285125804400 is an abundant number, since it is smaller than the sum of its proper divisors (95568035053200).

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

36285125804400 is a wasteful number, since it uses less digits than its factorization.

36285125804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 36285125804400 in words is "thirty-six trillion, two hundred eighty-five billion, one hundred twenty-five million, eight hundred four thousand, four hundred".