5029460457120 has 576 divisors, whose sum is σ = 19162014842880. Its totient is φ = 1190804428800.

The previous prime is 5029460457103. The next prime is 5029460457137. The reversal of 5029460457120 is 217540649205.

5029460457120 is a `hidden beast` number, since 5 + 0 + 29 + 4 + 604 + 5 + 7 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5029460457103) and next prime (5029460457137).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365532801 + ... + 365546559.

It is an arithmetic number, because the mean of its divisors is an integer number (33267386880).

Almost surely, 2^{5029460457120} 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 5029460457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581007421440).

5029460457120 is an abundant number, since it is smaller than the sum of its proper divisors (14132554385760).

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

5029460457120 is a wasteful number, since it uses less digits than its factorization.

5029460457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5029460457120 in words is "five trillion, twenty-nine billion, four hundred sixty million, four hundred fifty-seven thousand, one hundred twenty".