36013065325560 has 768 divisors, whose sum is σ = 126487775232000. Its totient is φ = 9207365271552.

The previous prime is 36013065325547. The next prime is 36013065325571. The reversal of 36013065325560 is 6552356031063.

36013065325560 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 3 + 0 + 6 + 532 + 55 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 13402702537 + ... + 13402705223.

It is an arithmetic number, because the mean of its divisors is an integer number (164697624000).

Almost surely, 2^{36013065325560} is an apocalyptic number.

36013065325560 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 36013065325560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63243887616000).

36013065325560 is an abundant number, since it is smaller than the sum of its proper divisors (90474709906440).

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

36013065325560 is a wasteful number, since it uses less digits than its factorization.

36013065325560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 36013065325560 in words is "thirty-six trillion, thirteen billion, sixty-five million, three hundred twenty-five thousand, five hundred sixty".