36077690880000 has 4080 divisors, whose sum is σ = 171700476659712. Its totient is φ = 7077888000000.

The previous prime is 36077690879983. The next prime is 36077690880017. The reversal of 36077690880000 is 8809677063.

It is an interprime number because it is at equal distance from previous prime (36077690879983) and next prime (36077690880017).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 879943679980 + ... + 879943680020.

Almost surely, 2^{36077690880000} is an apocalyptic number.

36077690880000 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 36077690880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85850238329856).

36077690880000 is an abundant number, since it is smaller than the sum of its proper divisors (135622785779712).

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

36077690880000 is an equidigital number, since it uses as much as digits as its factorization.

36077690880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 36077690880000 in words is "thirty-six trillion, seventy-seven billion, six hundred ninety million, eight hundred eighty thousand".