5551187558400 has 2016 divisors, whose sum is σ = 23965906083840. Its totient is φ = 1245708288000.

The previous prime is 5551187558333. The next prime is 5551187558429. The reversal of 5551187558400 is 48557811555.

It is a happy number.

5551187558400 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 1 + 87 + 558 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179070566385 + ... + 179070566415.

It is an arithmetic number, because the mean of its divisors is an integer number (11887850240).

Almost surely, 2^{5551187558400} is an apocalyptic number.

5551187558400 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 5551187558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982953041920).

5551187558400 is an abundant number, since it is smaller than the sum of its proper divisors (18414718525440).

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

5551187558400 is an equidigital number, since it uses as much as digits as its factorization.

5551187558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5600000, while the sum is 54.

The spelling of 5551187558400 in words is "five trillion, five hundred fifty-one billion, one hundred eighty-seven million, five hundred fifty-eight thousand, four hundred".