35616000000 has 672 divisors, whose sum is σ = 138204480960. Its totient is φ = 7987200000.

The previous prime is 35615999927. The next prime is 35616000029. The reversal of 35616000000 is 61653.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 671999974 + ... + 672000026.

It is an arithmetic number, because the mean of its divisors is an integer number (205661430).

Almost surely, 2^35616000000 is an apocalyptic number.

35616000000 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 35616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102240480).

35616000000 is an abundant number, since it is smaller than the sum of its proper divisors (102588480960).

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

35616000000 is an frugal number, since it uses more digits than its factorization.

35616000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 35616000000 its reverse (61653), we get a palindrome (35616061653).

The spelling of 35616000000 in words is "thirty-five billion, six hundred sixteen million", and thus it is an aban number.