35520793987392 has 840 divisors, whose sum is σ = 123677501403456. Its totient is φ = 10107414503424.

The previous prime is 35520793987321. The next prime is 35520793987543. The reversal of 35520793987392 is 29378939702553.

It is a happy number.

35520793987392 is a `hidden beast` number, since 3 + 5 + 520 + 7 + 9 + 3 + 9 + 8 + 7 + 3 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 35520793987392.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 9820510768 + ... + 9820514384.

Almost surely, 2^{35520793987392} is an apocalyptic number.

35520793987392 is a gapful number since it is divisible by the number (32) 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 35520793987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61838750701728).

35520793987392 is an abundant number, since it is smaller than the sum of its proper divisors (88156707416064).

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

35520793987392 is an frugal number, since it uses more digits than its factorization.

35520793987392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 35520793987392 in words is "thirty-five trillion, five hundred twenty billion, seven hundred ninety-three million, nine hundred eighty-seven thousand, three hundred ninety-two".