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55368883584 = 273572172137
BaseRepresentation
bin110011100100001111…
…100001110110000000
312021220202022201100000
4303210033201312000
51401343413233314
641234111200000
74000043513400
oct634417416600
9167822281300
1055368883584
1121533322823
12a892b16000
1352b5166a11
1429737b6800
151690db5209
hexce43e1d80

55368883584 has 576 divisors, whose sum is σ = 203608838160. Its totient is φ = 14882144256.

The previous prime is 55368883553. The next prime is 55368883597. The reversal of 55368883584 is 48538886355.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×553688835843 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25908564 + ... + 25910700.

Almost surely, 255368883584 is an apocalyptic number.

55368883584 is a gapful number since it is divisible by the number (54) 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 55368883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101804419080).

55368883584 is an abundant number, since it is smaller than the sum of its proper divisors (148239954576).

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

55368883584 is a wasteful number, since it uses less digits than its factorization.

55368883584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2166 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 63.

The spelling of 55368883584 in words is "fifty-five billion, three hundred sixty-eight million, eight hundred eighty-three thousand, five hundred eighty-four".