201382759548000 has 672 divisors, whose sum is σ = 744200451277920. Its totient is φ = 53532416332800.

The previous prime is 201382759547999. The next prime is 201382759548017. The reversal of 201382759548000 is 845957283102.

201382759548000 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 2 + 7 + 595 + 48 + 0 + 0 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 924263071 + ... + 924480929.

It is an arithmetic number, because the mean of its divisors is an integer number (1107441147735).

Almost surely, 2^{201382759548000} is an apocalyptic number.

201382759548000 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 201382759548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372100225638960).

201382759548000 is an abundant number, since it is smaller than the sum of its proper divisors (542817691729920).

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

201382759548000 is an equidigital number, since it uses as much as digits as its factorization.

201382759548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218219 (or 218186 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 201382759548000 in words is "two hundred one trillion, three hundred eighty-two billion, seven hundred fifty-nine million, five hundred forty-eight thousand".