5556711014400 has 2160 divisors, whose sum is σ = 23863770954240. Its totient is φ = 1129630924800.

The previous prime is 5556711014329. The next prime is 5556711014429. The reversal of 5556711014400 is 44101176555.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24265113486 + ... + 24265113714.

Almost surely, 2^{5556711014400} is an apocalyptic number.

5556711014400 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 5556711014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11931885477120).

5556711014400 is an abundant number, since it is smaller than the sum of its proper divisors (18307059939840).

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

5556711014400 is a wasteful number, since it uses less digits than its factorization.

5556711014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 5556711014400 in words is "five trillion, five hundred fifty-six billion, seven hundred eleven million, fourteen thousand, four hundred".