35399980800 has 540 divisors, whose sum is σ = 136626724080. Its totient is φ = 9026519040.

The previous prime is 35399980799. The next prime is 35399980879. The reversal of 35399980800 is 808999353.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11921716 + ... + 11924684.

It is an arithmetic number, because the mean of its divisors is an integer number (253012452).

Almost surely, 2^35399980800 is an apocalyptic number.

35399980800 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 35399980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68313362040).

35399980800 is an abundant number, since it is smaller than the sum of its proper divisors (101226743280).

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

35399980800 is a wasteful number, since it uses less digits than its factorization.

35399980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 35399980800 in words is "thirty-five billion, three hundred ninety-nine million, nine hundred eighty thousand, eight hundred".