5174153786880 has 1280 divisors, whose sum is σ = 21400230297600. Its totient is φ = 1173850030080.

The previous prime is 5174153786869. The next prime is 5174153786881. The reversal of 5174153786880 is 886873514715.

5174153786880 is a `hidden beast` number, since 5 + 17 + 4 + 1 + 537 + 8 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5174153786881) 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, 631683585 + ... + 631691775.

It is an arithmetic number, because the mean of its divisors is an integer number (16718929920).

Almost surely, 2^{5174153786880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5174153786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700115148800).

5174153786880 is an abundant number, since it is smaller than the sum of its proper divisors (16226076510720).

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

5174153786880 is a wasteful number, since it uses less digits than its factorization.

5174153786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 5174153786880 in words is "five trillion, one hundred seventy-four billion, one hundred fifty-three million, seven hundred eighty-six thousand, eight hundred eighty".