35520047712 has 144 divisors (see below), whose sum is σ = 103289764032. Its totient is φ = 11573452800.

The previous prime is 35520047669. The next prime is 35520047747. The reversal of 35520047712 is 21774002553.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17609328 + ... + 17611344.

It is an arithmetic number, because the mean of its divisors is an integer number (717290028).

Almost surely, 2^35520047712 is an apocalyptic number.

35520047712 is a gapful number since it is divisible by the number (32) 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 35520047712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51644882016).

35520047712 is an abundant number, since it is smaller than the sum of its proper divisors (67769716320).

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

35520047712 is a wasteful number, since it uses less digits than its factorization.

35520047712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 35520047712 in words is "thirty-five billion, five hundred twenty million, forty-seven thousand, seven hundred twelve".