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85677207840 = 2533572833241
BaseRepresentation
bin100111111001011000…
…0100111000100100000
322012010222210010002000
41033302300213010200
52400431331122330
6103205355524000
76122106151650
oct1176260470440
9265128703060
1085677207840
1133376606394
1214731159600
1381053827b3
14420ab60360
152366ae4560
hex13f2c27120

85677207840 has 192 divisors, whose sum is σ = 342708952320. Its totient is φ = 19583354880.

The previous prime is 85677207829. The next prime is 85677207857. The reversal of 85677207840 is 4870277658.

It is a happy number.

85677207840 is a `hidden beast` number, since 8 + 567 + 7 + 2 + 0 + 78 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Sastry number since concatenated with its successor gives a square.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386381 + ... + 1446860.

It is an arithmetic number, because the mean of its divisors is an integer number (1784942460).

Almost surely, 285677207840 is an apocalyptic number.

85677207840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85677207840 is an abundant number, since it is smaller than the sum of its proper divisors (257031744480).

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

85677207840 is a wasteful number, since it uses less digits than its factorization.

85677207840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833272 (or 2833258 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 85677207840 in words is "eighty-five billion, six hundred seventy-seven million, two hundred seven thousand, eight hundred forty".