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55040974800 = 24352721724179
BaseRepresentation
bin110011010000101100…
…101001111111010000
312021001220022020001020
4303100230221333100
51400210442143200
641141355035440
73655652365200
oct632054517720
9167056266036
1055040974800
1121385217029
12a80113bb80
135262246a56
14294201a400
1516721e1ea0
hexcd0b29fd0

55040974800 has 1080 divisors, whose sum is σ = 226014284160. Its totient is φ = 11405721600.

The previous prime is 55040974789. The next prime is 55040974831. The reversal of 55040974800 is 847904055.

55040974800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 696721161 + ... + 696721239.

Almost surely, 255040974800 is an apocalyptic number.

55040974800 is a gapful number since it is divisible by the number (50) 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 55040974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113007142080).

55040974800 is an abundant number, since it is smaller than the sum of its proper divisors (170973309360).

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

55040974800 is a wasteful number, since it uses less digits than its factorization.

55040974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 55040974800 in words is "fifty-five billion, forty million, nine hundred seventy-four thousand, eight hundred".