5193749840400 has 675 divisors, whose sum is σ = 20506357725469. Its totient is φ = 1257996960000.

The previous prime is 5193749840393. The next prime is 5193749840437. The reversal of 5193749840400 is 40489473915.

The square root of 5193749840400 is 2278980.

It is a perfect power (a square), and thus also a powerful number.

5193749840400 is a `hidden beast` number, since 5 + 1 + 93 + 74 + 9 + 84 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1869749942544 + 3323999897856 = 1367388^2 + 1823184^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4512379825 + ... + 4512380975.

Almost surely, 2^{5193749840400} is an apocalyptic number.

5193749840400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5193749840400 is the 2278980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5193749840400

5193749840400 is an abundant number, since it is smaller than the sum of its proper divisors (15312607885069).

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

5193749840400 is a wasteful number, since it uses less digits than its factorization.

5193749840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5193749840400 in words is "five trillion, one hundred ninety-three billion, seven hundred forty-nine million, eight hundred forty thousand, four hundred".