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5493589970400 = 253452717712417
BaseRepresentation
bin100111111110001001101…
…1110101000110111100000
3201110011220201201121010000
41033330103132220313200
51210001333013023100
615403415334340000
71104620165166540
oct117742336506740
921404821647100
105493589970400
111828900358934
127488401ba600
1330b0742027cc
1414dc69545320
1597d7a726900
hex4ff137a8de0

5493589970400 has 720 divisors, whose sum is σ = 24242923416096. Its totient is φ = 1181812654080.

The previous prime is 5493589970399. The next prime is 5493589970413. The reversal of 5493589970400 is 40799853945.

5493589970400 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 589 + 9 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 7354992 + ... + 8067408.

Almost surely, 25493589970400 is an apocalyptic number.

5493589970400 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 5493589970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121461708048).

5493589970400 is an abundant number, since it is smaller than the sum of its proper divisors (18749333445696).

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

5493589970400 is a wasteful number, since it uses less digits than its factorization.

5493589970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712473 (or 712451 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5493589970400 in words is "five trillion, four hundred ninety-three billion, five hundred eighty-nine million, nine hundred seventy thousand, four hundred".