36115420875456 has 224 divisors, whose sum is σ = 108361631831040. Its totient is φ = 10523709997056.

The previous prime is 36115420875397. The next prime is 36115420875463. The reversal of 36115420875456 is 65457802451163.

It is a super-2 number, since 2×36115420875456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 36115420875396 and 36115420875405.

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, 130419961 + ... + 130696583.

It is an arithmetic number, because the mean of its divisors is an integer number (483757284960).

Almost surely, 2^{36115420875456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36115420875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54180815915520).

36115420875456 is an abundant number, since it is smaller than the sum of its proper divisors (72246210955584).

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

36115420875456 is a wasteful number, since it uses less digits than its factorization.

36115420875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279423 (or 279413 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 36115420875456 in words is "thirty-six trillion, one hundred fifteen billion, four hundred twenty million, eight hundred seventy-five thousand, four hundred fifty-six".