35542755840 has 160 divisors (see below), whose sum is σ = 119606541120. Its totient is φ = 8979185664.

The previous prime is 35542755827. The next prime is 35542755863. The reversal of 35542755840 is 4855724553.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 35542755840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24132 + ... + 267708.

It is an arithmetic number, because the mean of its divisors is an integer number (747540882).

Almost surely, 2^35542755840 is an apocalyptic number.

35542755840 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 35542755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59803270560).

35542755840 is an abundant number, since it is smaller than the sum of its proper divisors (84063785280).

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

35542755840 is a wasteful number, since it uses less digits than its factorization.

35542755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243622 (or 243606 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 35542755840 in words is "thirty-five billion, five hundred forty-two million, seven hundred fifty-five thousand, eight hundred forty".