36590290652160 has 880 divisors, whose sum is σ = 150196762721280. Its totient is φ = 8344153128960.

The previous prime is 36590290652131. The next prime is 36590290652183. The reversal of 36590290652160 is 6125609209563.

It is a happy number.

36590290652160 is a `hidden beast` number, since 3 + 6 + 5 + 90 + 29 + 0 + 6 + 521 + 6 + 0 = 666.

It is a super-2 number, since 2×36590290652160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36590290652097 and 36590290652106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1274420205 + ... + 1274448915.

It is an arithmetic number, because the mean of its divisors is an integer number (170678139456).

Almost surely, 2^{36590290652160} is an apocalyptic number.

36590290652160 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 36590290652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75098381360640).

36590290652160 is an abundant number, since it is smaller than the sum of its proper divisors (113606472069120).

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

36590290652160 is a wasteful number, since it uses less digits than its factorization.

36590290652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29194 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 36590290652160 in words is "thirty-six trillion, five hundred ninety billion, two hundred ninety million, six hundred fifty-two thousand, one hundred sixty".