35536400000 has 192 divisors, whose sum is σ = 89774175960. Its totient is φ = 14008320000.

The previous prime is 35536399963. The next prime is 35536400023. The reversal of 35536400000 is 463553.

It can be written as a sum of positive squares in 12 ways, for example, as 18190456384 + 17345943616 = 134872^2 + 131704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29199392 + ... + 29200608.

Almost surely, 2^35536400000 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 35536400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44887087980).

35536400000 is an abundant number, since it is smaller than the sum of its proper divisors (54237775960).

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

35536400000 is an frugal number, since it uses more digits than its factorization.

35536400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 35536400000 its reverse (463553), we get a palindrome (35536863553).

The spelling of 35536400000 in words is "thirty-five billion, five hundred thirty-six million, four hundred thousand".