4981050597600 has 1728 divisors, whose sum is σ = 22411670561280. Its totient is φ = 1011006259200.

The previous prime is 4981050597571. The next prime is 4981050597619. The reversal of 4981050597600 is 67950501894.

4981050597600 is a `hidden beast` number, since 49 + 8 + 1 + 0 + 5 + 0 + 597 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6443790814 + ... + 6443791586.

It is an arithmetic number, because the mean of its divisors is an integer number (12969716760).

Almost surely, 2^{4981050597600} is an apocalyptic number.

4981050597600 is a gapful number since it is divisible by the number (40) 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 4981050597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205835280640).

4981050597600 is an abundant number, since it is smaller than the sum of its proper divisors (17430619963680).

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

4981050597600 is a wasteful number, since it uses less digits than its factorization.

4981050597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 4981050597600 in words is "four trillion, nine hundred eighty-one billion, fifty million, five hundred ninety-seven thousand, six hundred".