36025896960 has 728 divisors, whose sum is σ = 137514439680. Its totient is φ = 9029615616.

The previous prime is 36025896947. The next prime is 36025896971. The reversal of 36025896960 is 6969852063.

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 = 36025896897 and 36025896906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283668417 + ... + 283668543.

Almost surely, 2^36025896960 is an apocalyptic number.

36025896960 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 36025896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68757219840).

36025896960 is an abundant number, since it is smaller than the sum of its proper divisors (101488542720).

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

36025896960 is an equidigital number, since it uses as much as digits as its factorization.

36025896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 36025896960 in words is "thirty-six billion, twenty-five million, eight hundred ninety-six thousand, nine hundred sixty".