35725220820 has 144 divisors (see below), whose sum is σ = 114153312000. Its totient is φ = 9018729216.

The previous prime is 35725220819. The next prime is 35725220821. The reversal of 35725220820 is 2802252753.

It is a happy number.

35725220820 is a `hidden beast` number, since 3 + 57 + 2 + 522 + 0 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35725220819) and next prime (35725220821).

It is a super-2 number, since 2×35725220820² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (35725220821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6115461 + ... + 6121299.

Almost surely, 2^35725220820 is an apocalyptic number.

35725220820 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 35725220820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57076656000).

35725220820 is an abundant number, since it is smaller than the sum of its proper divisors (78428091180).

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

35725220820 is a wasteful number, since it uses less digits than its factorization.

35725220820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 35725220820 in words is "thirty-five billion, seven hundred twenty-five million, two hundred twenty thousand, eight hundred twenty".