49258302090624 has 2560 divisors, whose sum is σ = 183689244288000. Its totient is φ = 12918481551360.

The previous prime is 49258302090553. The next prime is 49258302090677. The reversal of 49258302090624 is 42609020385294.

49258302090624 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 8 + 3 + 0 + 2 + 0 + 9 + 0 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 250042142494 + ... + 250042142690.

It is an arithmetic number, because the mean of its divisors is an integer number (71753611050).

Almost surely, 2^{49258302090624} is an apocalyptic number.

49258302090624 is a gapful number since it is divisible by the number (44) 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 49258302090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91844622144000).

49258302090624 is an abundant number, since it is smaller than the sum of its proper divisors (134430942197376).

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

49258302090624 is a wasteful number, since it uses less digits than its factorization.

49258302090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 49258302090624 in words is "forty-nine trillion, two hundred fifty-eight billion, three hundred two million, ninety thousand, six hundred twenty-four".