5006901537792 has 2200 divisors, whose sum is σ = 20423675571200. Its totient is φ = 1192303411200.

The previous prime is 5006901537769. The next prime is 5006901537797. The reversal of 5006901537792 is 2977351096005.

5006901537792 is a `hidden beast` number, since 500 + 6 + 9 + 0 + 15 + 37 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006901537797) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 161512952817 + ... + 161512952847.

It is an arithmetic number, because the mean of its divisors is an integer number (9283488896).

Almost surely, 2^{5006901537792} 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 5006901537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211837785600).

5006901537792 is an abundant number, since it is smaller than the sum of its proper divisors (15416774033408).

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

5006901537792 is an equidigital number, since it uses as much as digits as its factorization.

5006901537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 5006901537792 in words is "five trillion, six billion, nine hundred one million, five hundred thirty-seven thousand, seven hundred ninety-two".