35982213120 has 816 divisors, whose sum is σ = 150616307520. Its totient is φ = 8125415424.

The previous prime is 35982213109. The next prime is 35982213131. The reversal of 35982213120 is 2131228953.

35982213120 is a `hidden beast` number, since 35 + 98 + 221 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35982213109) and next prime (35982213131).

It is a super-2 number, since 2×35982213120² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433520599 + ... + 433520681.

Almost surely, 2^35982213120 is an apocalyptic number.

35982213120 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 35982213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75308153760).

35982213120 is an abundant number, since it is smaller than the sum of its proper divisors (114634094400).

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

35982213120 is an frugal number, since it uses more digits than its factorization.

35982213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 35982213120 in words is "thirty-five billion, nine hundred eighty-two million, two hundred thirteen thousand, one hundred twenty".