5090546257104 has 960 divisors, whose sum is σ = 18336106414080. Its totient is φ = 1186167628800.

The previous prime is 5090546257081. The next prime is 5090546257127. The reversal of 5090546257104 is 4017526450905.

It is an interprime number because it is at equal distance from previous prime (5090546257081) and next prime (5090546257127).

It is a super-2 number, since 2×5090546257104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1125477787 + ... + 1125482309.

It is an arithmetic number, because the mean of its divisors is an integer number (19100110848).

Almost surely, 2^{5090546257104} 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 5090546257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168053207040).

5090546257104 is an abundant number, since it is smaller than the sum of its proper divisors (13245560156976).

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

5090546257104 is a wasteful number, since it uses less digits than its factorization.

5090546257104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 5090546257104 in words is "five trillion, ninety billion, five hundred forty-six million, two hundred fifty-seven thousand, one hundred four".