35481600000 has 1080 divisors, whose sum is σ = 159728901696. Its totient is φ = 7372800000.

The previous prime is 35481599999. The next prime is 35481600013. The reversal of 35481600000 is 618453.

35481600000 is a `hidden beast` number, since 3 + 54 + 8 + 1 + 600 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3225599995 + ... + 3225600005.

Almost surely, 2^35481600000 is an apocalyptic number.

35481600000 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 35481600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79864450848).

35481600000 is an abundant number, since it is smaller than the sum of its proper divisors (124247301696).

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

35481600000 is an frugal number, since it uses more digits than its factorization.

35481600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 35481600000 in words is "thirty-five billion, four hundred eighty-one million, six hundred thousand".