36261416505600 has 1296 divisors, whose sum is σ = 153659362671360. Its totient is φ = 8042427187200.

The previous prime is 36261416505581. The next prime is 36261416505623. The reversal of 36261416505600 is 650561416263.

36261416505600 is a `hidden beast` number, since 3 + 6 + 26 + 1 + 4 + 1 + 65 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×36261416505600² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 930738921 + ... + 930777879.

Almost surely, 2^{36261416505600} is an apocalyptic number.

36261416505600 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 36261416505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76829681335680).

36261416505600 is an abundant number, since it is smaller than the sum of its proper divisors (117397946165760).

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

36261416505600 is a wasteful number, since it uses less digits than its factorization.

36261416505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39128 (or 39106 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 36261416505600 in words is "thirty-six trillion, two hundred sixty-one billion, four hundred sixteen million, five hundred five thousand, six hundred".