36587869039680 has 224 divisors, whose sum is σ = 132797294699520. Its totient is φ = 8360699074560.

The previous prime is 36587869039649. The next prime is 36587869039753. The reversal of 36587869039680 is 8693096878563.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 36587869039596 and 36587869039605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24397995 + ... + 25854165.

Almost surely, 2^{36587869039680} is an apocalyptic number.

36587869039680 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 36587869039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66398647349760).

36587869039680 is an abundant number, since it is smaller than the sum of its proper divisors (96209425659840).

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

36587869039680 is a wasteful number, since it uses less digits than its factorization.

36587869039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459937 (or 1459927 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 78.

The spelling of 36587869039680 in words is "thirty-six trillion, five hundred eighty-seven billion, eight hundred sixty-nine million, thirty-nine thousand, six hundred eighty".