207828588240000 has 4320 divisors, whose sum is σ = 976969615461840. Its totient is φ = 43815582720000.

The previous prime is 207828588239959. The next prime is 207828588240001. The reversal of 207828588240000 is 42885828702.

207828588240000 is a `hidden beast` number, since 2 + 0 + 7 + 82 + 85 + 8 + 82 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (207828588240001) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 160982639355 + ... + 160982640645.

Almost surely, 2^{207828588240000} is an apocalyptic number.

207828588240000 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 207828588240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488484807730920).

207828588240000 is an abundant number, since it is smaller than the sum of its proper divisors (769141027221840).

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

207828588240000 is an equidigital number, since it uses as much as digits as its factorization.

207828588240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 207828588240000 in words is "two hundred seven trillion, eight hundred twenty-eight billion, five hundred eighty-eight million, two hundred forty thousand".