35690156090000 has 300 divisors, whose sum is σ = 88862546054700. Its totient is φ = 13881522816000.

The previous prime is 35690156089999. The next prime is 35690156090003. The reversal of 35690156090000 is 9065109653.

It can be written as a sum of positive squares in 10 ways, for example, as 25019323732624 + 10670832357376 = 5001932^2 + 3266624^2 .

It is not an unprimeable number, because it can be changed into a prime (35690156090003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4234205786 + ... + 4234214214.

It is an arithmetic number, because the mean of its divisors is an integer number (296208486849).

Almost surely, 2^{35690156090000} 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 35690156090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431273027350).

35690156090000 is an abundant number, since it is smaller than the sum of its proper divisors (53172389964700).

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

35690156090000 is an equidigital number, since it uses as much as digits as its factorization.

35690156090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 44.

The spelling of 35690156090000 in words is "thirty-five trillion, six hundred ninety billion, one hundred fifty-six million, ninety thousand".