55456346400 has 576 divisors, whose sum is σ = 229361319936. Its totient is φ = 11321856000.

The previous prime is 55456346381. The next prime is 55456346411. The reversal of 55456346400 is 464365455.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6766305 + ... + 6774495.

It is an arithmetic number, because the mean of its divisors is an integer number (398196736).

Almost surely, 2^55456346400 is an apocalyptic number.

55456346400 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 55456346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114680659968).

55456346400 is an abundant number, since it is smaller than the sum of its proper divisors (173904973536).

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

55456346400 is a wasteful number, since it uses less digits than its factorization.

55456346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

It can be divided in two parts, 55456 and 346400, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 55456346400 in words is "fifty-five billion, four hundred fifty-six million, three hundred forty-six thousand, four hundred".