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55878440872320 = 2734511313161003
BaseRepresentation
bin11001011010010001101101…
…00111100110100110000000
321022211221000121202022110000
430231020312213212212000
524311003021330403240
6314502111254240000
714525040566410203
oct1455106647464600
9238757017668400
1055878440872320
1116893a06140750
126325748956000
132524411873551
14db2760d9993a
1566d7d6d18430
hex32d2369e6980

55878440872320 has 640 divisors, whose sum is σ = 224715521479680. Its totient is φ = 13109307494400.

The previous prime is 55878440872273. The next prime is 55878440872337. The reversal of 55878440872320 is 2327804487855.

55878440872320 is a `hidden beast` number, since 5 + 5 + 8 + 78 + 440 + 87 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16096939 + ... + 19257941.

It is an arithmetic number, because the mean of its divisors is an integer number (351118002312).

Almost surely, 255878440872320 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 55878440872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112357760739840).

55878440872320 is an abundant number, since it is smaller than the sum of its proper divisors (168837080607360).

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

55878440872320 is a wasteful number, since it uses less digits than its factorization.

55878440872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161076 (or 3161055 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 55878440872320 in words is "fifty-five trillion, eight hundred seventy-eight billion, four hundred forty million, eight hundred seventy-two thousand, three hundred twenty".