5617967520000 has 1440 divisors, whose sum is σ = 21183111734400. Its totient is φ = 1309409280000.

The previous prime is 5617967519987. The next prime is 5617967520001. The reversal of 5617967520000 is 257697165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5617967520001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29108639904 + ... + 29108640096.

It is an arithmetic number, because the mean of its divisors is an integer number (14710494260).

Almost surely, 2^{5617967520000} is an apocalyptic number.

5617967520000 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 5617967520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591555867200).

5617967520000 is an abundant number, since it is smaller than the sum of its proper divisors (15565144214400).

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

5617967520000 is a wasteful number, since it uses less digits than its factorization.

5617967520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 5617967520000 in words is "five trillion, six hundred seventeen billion, nine hundred sixty-seven million, five hundred twenty thousand".