36895001117520 has 720 divisors, whose sum is σ = 151652376930240. Its totient is φ = 7374724890624.

The previous prime is 36895001117393. The next prime is 36895001117537. The reversal of 36895001117520 is 2571110059863.

It is a super-2 number, since 2×36895001117520² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36895001117520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37272832 + ... + 38249888.

It is an arithmetic number, because the mean of its divisors is an integer number (210628301292).

Almost surely, 2^{36895001117520} is an apocalyptic number.

36895001117520 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 36895001117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75826188465120).

36895001117520 is an abundant number, since it is smaller than the sum of its proper divisors (114757375812720).

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

36895001117520 is a wasteful number, since it uses less digits than its factorization.

36895001117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977132 (or 977106 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 36895001117520 in words is "thirty-six trillion, eight hundred ninety-five billion, one million, one hundred seventeen thousand, five hundred twenty".