5377783536000 has 1024 divisors, whose sum is σ = 21034391040000. Its totient is φ = 1345794048000.

The previous prime is 5377783535989. The next prime is 5377783536089. The reversal of 5377783536000 is 6353877735.

5377783536000 is a `hidden beast` number, since 5 + 37 + 7 + 78 + 3 + 536 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3165263151 + ... + 3165264849.

It is an arithmetic number, because the mean of its divisors is an integer number (20541397500).

Almost surely, 2^{5377783536000} is an apocalyptic number.

5377783536000 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 5377783536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517195520000).

5377783536000 is an abundant number, since it is smaller than the sum of its proper divisors (15656607504000).

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

5377783536000 is a wasteful number, since it uses less digits than its factorization.

5377783536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 5377783536000 in words is "five trillion, three hundred seventy-seven billion, seven hundred eighty-three million, five hundred thirty-six thousand".