7738056133500 has 384 divisors, whose sum is σ = 28130600429568. Its totient is φ = 1605776640000.

The previous prime is 7738056133477. The next prime is 7738056133517. The reversal of 7738056133500 is 53316508377.

It is a self number, because there is not a number n which added to its sum of digits gives 7738056133500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87851482 + ... + 87939518.

It is an arithmetic number, because the mean of its divisors is an integer number (73256771952).

Almost surely, 2^{7738056133500} is an apocalyptic number.

7738056133500 is a gapful number since it is divisible by the number (70) 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 7738056133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065300214784).

7738056133500 is an abundant number, since it is smaller than the sum of its proper divisors (20392544296068).

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

7738056133500 is a wasteful number, since it uses less digits than its factorization.

7738056133500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88838 (or 88826 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 7738056133500 in words is "seven trillion, seven hundred thirty-eight billion, fifty-six million, one hundred thirty-three thousand, five hundred".