5553075074400 has 1296 divisors, whose sum is σ = 23770772573184. Its totient is φ = 1239194557440.

The previous prime is 5553075074333. The next prime is 5553075074423. The reversal of 5553075074400 is 44705703555.

It is a happy number.

5553075074400 is a `hidden beast` number, since 5 + 5 + 530 + 7 + 5 + 0 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2516118097 + ... + 2516120303.

It is an arithmetic number, because the mean of its divisors is an integer number (18341645504).

Almost surely, 2^{5553075074400} is an apocalyptic number.

5553075074400 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 5553075074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885386286592).

5553075074400 is an abundant number, since it is smaller than the sum of its proper divisors (18217697498784).

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

5553075074400 is a wasteful number, since it uses less digits than its factorization.

5553075074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 45.

The spelling of 5553075074400 in words is "five trillion, five hundred fifty-three billion, seventy-five million, seventy-four thousand, four hundred".