5347912550400 has 4608 divisors, whose sum is σ = 26323315200000. Its totient is φ = 1034504110080.

The previous prime is 5347912550363. The next prime is 5347912550401. The reversal of 5347912550400 is 40552197435.

5347912550400 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 91 + 2 + 550 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5347912550401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90642585571 + ... + 90642585629.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525000).

Almost surely, 2^{5347912550400} is an apocalyptic number.

5347912550400 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 5347912550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161657600000).

5347912550400 is an abundant number, since it is smaller than the sum of its proper divisors (20975402649600).

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

5347912550400 is a wasteful number, since it uses less digits than its factorization.

5347912550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5347912550400 in words is "five trillion, three hundred forty-seven billion, nine hundred twelve million, five hundred fifty thousand, four hundred".