36401087923200 has 7920 divisors, whose sum is σ = 194244943242240. Its totient is φ = 6521389056000.

The previous prime is 36401087923163. The next prime is 36401087923217. The reversal of 36401087923200 is 232978010463.

36401087923200 is a `hidden beast` number, since 3 + 6 + 401 + 0 + 8 + 7 + 9 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 512691379165 + ... + 512691379235.

It is an arithmetic number, because the mean of its divisors is an integer number (24525876672).

Almost surely, 2^{36401087923200} is an apocalyptic number.

36401087923200 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 36401087923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97122471621120).

36401087923200 is an abundant number, since it is smaller than the sum of its proper divisors (157843855319040).

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

36401087923200 is a wasteful number, since it uses less digits than its factorization.

36401087923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36401087923200 in words is "thirty-six trillion, four hundred one billion, eighty-seven million, nine hundred twenty-three thousand, two hundred".