36206225510400 has 3744 divisors, whose sum is σ = 160991991853056. Its totient is φ = 7962624000000.

The previous prime is 36206225510267. The next prime is 36206225510459. The reversal of 36206225510400 is 401552260263.

36206225510400 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 62 + 2 + 551 + 0 + 40 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144247910275 + ... + 144247910525.

It is an arithmetic number, because the mean of its divisors is an integer number (42999997824).

Almost surely, 2^{36206225510400} is an apocalyptic number.

36206225510400 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 36206225510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80495995926528).

36206225510400 is an abundant number, since it is smaller than the sum of its proper divisors (124785766342656).

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

36206225510400 is a wasteful number, since it uses less digits than its factorization.

36206225510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 36206225510400 its reverse (401552260263), we get a palindrome (36607777770663).

The spelling of 36206225510400 in words is "thirty-six trillion, two hundred six billion, two hundred twenty-five million, five hundred ten thousand, four hundred".