35242051020 has 288 divisors, whose sum is σ = 111859247808. Its totient is φ = 8279040000.

The previous prime is 35242050997. The next prime is 35242051049. The reversal of 35242051020 is 2015024253.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58638720 + ... + 58639320.

It is an arithmetic number, because the mean of its divisors is an integer number (388400166).

Almost surely, 2^35242051020 is an apocalyptic number.

35242051020 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 35242051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55929623904).

35242051020 is an abundant number, since it is smaller than the sum of its proper divisors (76617196788).

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

35242051020 is a wasteful number, since it uses less digits than its factorization.

35242051020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 35242051020 its reverse (2015024253), we get a palindrome (37257075273).

The spelling of 35242051020 in words is "thirty-five billion, two hundred forty-two million, fifty-one thousand, twenty".