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5740888608000 = 28355372131961
BaseRepresentation
bin101001110001010011110…
…1000000100110100000000
3202022211020101202000200000
41103202213220010310000
51223024314440424000
620113154450400000
71131523400010300
oct123424750046400
922284211660600
105740888608000
111913773a55577
12788757b90000
1332849571bac0
1415bc0928b600
159e5012dc000
hex538a7a04d00

5740888608000 has 5184 divisors, whose sum is σ = 28712529780480. Its totient is φ = 1128701952000.

The previous prime is 5740888607957. The next prime is 5740888608023. The reversal of 5740888608000 is 8068880475.

5740888608000 is a `hidden beast` number, since 574 + 0 + 8 + 8 + 8 + 60 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 94112927970 + ... + 94112928030.

Almost surely, 25740888608000 is an apocalyptic number.

5740888608000 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 5740888608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356264890240).

5740888608000 is an abundant number, since it is smaller than the sum of its proper divisors (22971641172480).

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

5740888608000 is a wasteful number, since it uses less digits than its factorization.

5740888608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 5740888608000 in words is "five trillion, seven hundred forty billion, eight hundred eighty-eight million, six hundred eight thousand".