35542081620 has 72 divisors (see below), whose sum is σ = 108080055720. Its totient is φ = 9454233600.

The previous prime is 35542081613. The next prime is 35542081643. The reversal of 35542081620 is 2618024553.

35542081620 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 20 + 8 + 1 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8122695876 + 27419385744 = 90126^2 + 165588^2 .

It is a super-3 number, since 3×35542081620³ (a number of 33 digits) contains 333 as substring.

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, 174025 + ... + 318384.

It is an arithmetic number, because the mean of its divisors is an integer number (1501111885).

Almost surely, 2^35542081620 is an apocalyptic number.

35542081620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35542081620 is an abundant number, since it is smaller than the sum of its proper divisors (72537974100).

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

35542081620 is a wasteful number, since it uses less digits than its factorization.

35542081620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492825 (or 492820 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 35542081620 in words is "thirty-five billion, five hundred forty-two million, eighty-one thousand, six hundred twenty".