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55680771510 = 232571359139829
BaseRepresentation
bin110011110110110101…
…010010010110110110
312022201111012021010200
4303312311102112312
51403013234142020
641325052101330
74010551514550
oct636665222666
9168644167120
1055680771510
1121683386841
12a95b464846
1353349677a0
1429a2da24d0
1516ad471590
hexcf6d525b6

55680771510 has 384 divisors, whose sum is σ = 182722176000. Its totient is φ = 11451995136.

The previous prime is 55680771479. The next prime is 55680771511. The reversal of 55680771510 is 1517708655.

55680771510 is a `hidden beast` number, since 5 + 5 + 68 + 0 + 7 + 71 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55680771511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67165776 + ... + 67166604.

It is an arithmetic number, because the mean of its divisors is an integer number (475839000).

Almost surely, 255680771510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55680771510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91361088000).

55680771510 is an abundant number, since it is smaller than the sum of its proper divisors (127041404490).

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

55680771510 is a wasteful number, since it uses less digits than its factorization.

55680771510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 55680771510 in words is "fifty-five billion, six hundred eighty million, seven hundred seventy-one thousand, five hundred ten".