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53055896400 = 243352131919889
BaseRepresentation
bin110001011010011000…
…001011101101010000
312001221120000210102000
4301122120023231100
51332124302141100
640212403554000
73555526451463
oct613230135520
9161846023360
1053055896400
1120556741271
12a34838b900
135006bc5450
1427d45272da
1515a7cca900
hexc5a60bb50

53055896400 has 480 divisors, whose sum is σ = 214080048000. Its totient is φ = 12371927040.

The previous prime is 53055896389. The next prime is 53055896407. The reversal of 53055896400 is 469855035.

53055896400 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 589 + 64 + 0 + 0 = 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 (53055896407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2657656 + ... + 2677544.

It is an arithmetic number, because the mean of its divisors is an integer number (446000100).

Almost surely, 253055896400 is an apocalyptic number.

53055896400 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 53055896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040024000).

53055896400 is an abundant number, since it is smaller than the sum of its proper divisors (161024151600).

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

53055896400 is a wasteful number, since it uses less digits than its factorization.

53055896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948 (or 19931 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 53055896400 in words is "fifty-three billion, fifty-five million, eight hundred ninety-six thousand, four hundred".