538369522790400 has 3120 divisors, whose sum is σ = 2422049469269760. Its totient is φ = 115464418099200.

The previous prime is 538369522790383. The next prime is 538369522790417. The reversal of 538369522790400 is 4097225963835.

538369522790400 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 69 + 522 + 7 + 9 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (538369522790383) and next prime (538369522790417).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118037604120 + ... + 118037608680.

Almost surely, 2^{538369522790400} is an apocalyptic number.

538369522790400 is a gapful number since it is divisible by the number (50) 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 538369522790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211024734634880).

538369522790400 is an abundant number, since it is smaller than the sum of its proper divisors (1883679946479360).

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

538369522790400 is a wasteful number, since it uses less digits than its factorization.

538369522790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 538369522790400 in words is "five hundred thirty-eight trillion, three hundred sixty-nine billion, five hundred twenty-two million, seven hundred ninety thousand, four hundred".