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54435040000 = 285411157197
BaseRepresentation
bin110010101100100101…
…001100101100000000
312012111200010112202121
4302230211030230000
51342440332240000
641001311454024
73634644130345
oct625445145400
9165450115677
1054435040000
11210a4185270
12a672227314
135196850a53
1428c576a7cc
151638e00b1a
hexcac94cb00

54435040000 has 360 divisors, whose sum is σ = 149821954128. Its totient is φ = 19568640000.

The previous prime is 54435039991. The next prime is 54435040003. The reversal of 54435040000 is 4053445.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54435040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276319902 + ... + 276320098.

Almost surely, 254435040000 is an apocalyptic number.

54435040000 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 54435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74910977064).

54435040000 is an abundant number, since it is smaller than the sum of its proper divisors (95386914128).

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

54435040000 is a wasteful number, since it uses less digits than its factorization.

54435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 54435040000 its reverse (4053445), we get a palindrome (54439093445).

The spelling of 54435040000 in words is "fifty-four billion, four hundred thirty-five million, forty thousand".