36111966960 has 640 divisors, whose sum is σ = 131648716800. Its totient is φ = 8132382720.

The previous prime is 36111966911. The next prime is 36111966971. The reversal of 36111966960 is 6966911163.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94286929 + ... + 94287311.

It is an arithmetic number, because the mean of its divisors is an integer number (205701120).

Almost surely, 2^36111966960 is an apocalyptic number.

36111966960 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 36111966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65824358400).

36111966960 is an abundant number, since it is smaller than the sum of its proper divisors (95536749840).

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

36111966960 is a wasteful number, since it uses less digits than its factorization.

36111966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 36111966960 in words is "thirty-six billion, one hundred eleven million, nine hundred sixty-six thousand, nine hundred sixty".