201075856107840 has 1008 divisors, whose sum is σ = 848473981992000. Its totient is φ = 45181158801408.

The previous prime is 201075856107713. The next prime is 201075856107877. The reversal of 201075856107840 is 48701658570102.

201075856107840 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 5 + 8 + 561 + 0 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224356936 + ... + 225251384.

It is an arithmetic number, because the mean of its divisors is an integer number (841740061500).

Almost surely, 2^{201075856107840} is an apocalyptic number.

201075856107840 is a gapful number since it is divisible by the number (20) 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 201075856107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424236990996000).

201075856107840 is an abundant number, since it is smaller than the sum of its proper divisors (647398125884160).

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

201075856107840 is an equidigital number, since it uses as much as digits as its factorization.

201075856107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894554 (or 894525 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 201075856107840 in words is "two hundred one trillion, seventy-five billion, eight hundred fifty-six million, one hundred seven thousand, eight hundred forty".