53188198400 has 96 divisors (see below), whose sum is σ = 131906750880. Its totient is φ = 21274951680.

The previous prime is 53188198381. The next prime is 53188198409. The reversal of 53188198400 is 489188135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53188198409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 786737 + ... + 851663.

It is an arithmetic number, because the mean of its divisors is an integer number (1374028655).

Almost surely, 2^53188198400 is an apocalyptic number.

53188198400 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 53188198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65953375440).

53188198400 is an abundant number, since it is smaller than the sum of its proper divisors (78718552480).

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

53188198400 is an frugal number, since it uses more digits than its factorization.

53188198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64967 (or 64934 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 53188198400 in words is "fifty-three billion, one hundred eighty-eight million, one hundred ninety-eight thousand, four hundred".