5174861736000 has 896 divisors, whose sum is σ = 20152931235840. Its totient is φ = 1156322304000.

The previous prime is 5174861735903. The next prime is 5174861736001. The reversal of 5174861736000 is 6371684715.

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 (5174861736001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185578059 + ... + 185605941.

Almost surely, 2^{5174861736000} is an apocalyptic number.

5174861736000 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 5174861736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076465617920).

5174861736000 is an abundant number, since it is smaller than the sum of its proper divisors (14978069499840).

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

5174861736000 is a wasteful number, since it uses less digits than its factorization.

5174861736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27980 (or 27960 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 5174861736000 in words is "five trillion, one hundred seventy-four billion, eight hundred sixty-one million, seven hundred thirty-six thousand".