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1066480060800 = 273527211241457
BaseRepresentation
bin11111000010011110010…
…10100100100110000000
310202221202211101102112010
433201033022210212000
5114433122343421200
62133533440532520
7140023240642200
oct17411712444600
93687684342463
101066480060800
11381323211600
12152836021140
13797513b501b
1439891790400
151cb1cd2c150
hexf84f2a4980

1066480060800 has 1728 divisors, whose sum is σ = 4611085027920. Its totient is φ = 215728128000.

The previous prime is 1066480060787. The next prime is 1066480060813. The reversal of 1066480060800 is 80600846601.

It is an interprime number because it is at equal distance from previous prime (1066480060787) and next prime (1066480060813).

It is a super-2 number, since 2×10664800608002 (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 2333654172 + ... + 2333654628.

Almost surely, 21066480060800 is an apocalyptic number.

1066480060800 is a gapful number since it is divisible by the number (10) 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 1066480060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305542513960).

1066480060800 is an abundant number, since it is smaller than the sum of its proper divisors (3544604967120).

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

1066480060800 is a wasteful number, since it uses less digits than its factorization.

1066480060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1066480060800 in words is "one trillion, sixty-six billion, four hundred eighty million, sixty thousand, eight hundred".