36503066160 has 480 divisors, whose sum is σ = 136229423616. Its totient is φ = 8686080000.

The previous prime is 36503066123. The next prime is 36503066227. The reversal of 36503066160 is 6166030563.

It is a happy number.

36503066160 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 30 + 6 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156665404 + ... + 156665636.

Almost surely, 2^36503066160 is an apocalyptic number.

36503066160 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 36503066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68114711808).

36503066160 is an abundant number, since it is smaller than the sum of its proper divisors (99726357456).

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

36503066160 is a wasteful number, since it uses less digits than its factorization.

36503066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 36503066160 in words is "thirty-six billion, five hundred three million, sixty-six thousand, one hundred sixty".