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5985185955840 = 217355721359
BaseRepresentation
bin101011100011000100011…
…1000100000000000000000
3210012011210220022010200000
41113012020320200000000
51241030130101041330
620421320110400000
71155262326134100
oct127061070400000
923164726263600
105985185955840
1119a8337490853
12807b76800000
133455291c17b0
14169982573200
15a5a4d656560
hex57188e20000

5985185955840 has 2592 divisors, whose sum is σ = 27412272538560. Its totient is φ = 1241404932096.

The previous prime is 5985185955803. The next prime is 5985185955851. The reversal of 5985185955840 is 485595815895.

It is a happy number.

5985185955840 is a `hidden beast` number, since 5 + 9 + 8 + 5 + 18 + 59 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 101443829731 + ... + 101443829789.

It is an arithmetic number, because the mean of its divisors is an integer number (10575722430).

Almost surely, 25985185955840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985185955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706136269280).

5985185955840 is an abundant number, since it is smaller than the sum of its proper divisors (21427086582720).

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

5985185955840 is an frugal number, since it uses more digits than its factorization.

5985185955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 518400000, while the sum is 72.

The spelling of 5985185955840 in words is "five trillion, nine hundred eighty-five billion, one hundred eighty-five million, nine hundred fifty-five thousand, eight hundred forty".