35872706338560 has 1728 divisors, whose sum is σ = 161108153256960. Its totient is φ = 7440116613120.

The previous prime is 35872706338543. The next prime is 35872706338571. The reversal of 35872706338560 is 6583360727853.

It is a happy number.

35872706338560 is a `hidden beast` number, since 3 + 5 + 8 + 7 + 2 + 7 + 0 + 63 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1669963020 + ... + 1669984500.

Almost surely, 2^{35872706338560} is an apocalyptic number.

35872706338560 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 35872706338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80554076628480).

35872706338560 is an abundant number, since it is smaller than the sum of its proper divisors (125235446918400).

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

35872706338560 is a wasteful number, since it uses less digits than its factorization.

35872706338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21596 (or 21570 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 35872706338560 in words is "thirty-five trillion, eight hundred seventy-two billion, seven hundred six million, three hundred thirty-eight thousand, five hundred sixty".