538098779400 has 384 divisors, whose sum is σ = 2096745799680. Its totient is φ = 111116805120.

The previous prime is 538098779399. The next prime is 538098779417. The reversal of 538098779400 is 4977890835.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2461357 + ... + 2671043.

It is an arithmetic number, because the mean of its divisors is an integer number (5460275520).

Almost surely, 2^538098779400 is an apocalyptic number.

538098779400 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 538098779400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048372899840).

538098779400 is an abundant number, since it is smaller than the sum of its proper divisors (1558647020280).

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

538098779400 is a wasteful number, since it uses less digits than its factorization.

538098779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209773 (or 209764 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 538098779400 in words is "five hundred thirty-eight billion, ninety-eight million, seven hundred seventy-nine thousand, four hundred".