5364942176000 has 288 divisors, whose sum is σ = 14661341210880. Its totient is φ = 1939966464000.

The previous prime is 5364942175997. The next prime is 5364942176101. The reversal of 5364942176000 is 6712494635.

It is a super-2 number, since 2×5364942176000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62965427 + ... + 63050573.

It is an arithmetic number, because the mean of its divisors is an integer number (50907434760).

Almost surely, 2^{5364942176000} is an apocalyptic number.

5364942176000 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 5364942176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330670605440).

5364942176000 is an abundant number, since it is smaller than the sum of its proper divisors (9296399034880).

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

5364942176000 is a wasteful number, since it uses less digits than its factorization.

5364942176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85368 (or 85344 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 5364942176000 in words is "five trillion, three hundred sixty-four billion, nine hundred forty-two million, one hundred seventy-six thousand".