538980674400 has 1080 divisors, whose sum is σ = 2300648842800. Its totient is φ = 122432808960.

The previous prime is 538980674329. The next prime is 538980674417. The reversal of 538980674400 is 4476089835.

538980674400 is a `hidden beast` number, since 53 + 8 + 98 + 0 + 67 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 631864374 + ... + 631865226.

It is an arithmetic number, because the mean of its divisors is an integer number (2130230410).

Almost surely, 2^538980674400 is an apocalyptic number.

538980674400 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 538980674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150324421400).

538980674400 is an abundant number, since it is smaller than the sum of its proper divisors (1761668168400).

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

538980674400 is a wasteful number, since it uses less digits than its factorization.

538980674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 538980674400 in words is "five hundred thirty-eight billion, nine hundred eighty million, six hundred seventy-four thousand, four hundred".