36052933333536 has 1152 divisors, whose sum is σ = 125440467264000. Its totient is φ = 10042939146240.

The previous prime is 36052933333517. The next prime is 36052933333553. The reversal of 36052933333536 is 63533333925063.

36052933333536 is a `hidden beast` number, since 3 + 6 + 0 + 529 + 3 + 33 + 33 + 53 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 128302253716 + ... + 128302253996.

It is an arithmetic number, because the mean of its divisors is an integer number (108889294500).

Almost surely, 2^{36052933333536} is an apocalyptic number.

36052933333536 is a gapful number since it is divisible by the number (36) 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 36052933333536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62720233632000).

36052933333536 is an abundant number, since it is smaller than the sum of its proper divisors (89387533930464).

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

36052933333536 is a wasteful number, since it uses less digits than its factorization.

36052933333536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 54.

The spelling of 36052933333536 in words is "thirty-six trillion, fifty-two billion, nine hundred thirty-three million, three hundred thirty-three thousand, five hundred thirty-six".