55758642400 has 288 divisors, whose sum is σ = 145790668800. Its totient is φ = 20778700800.

The previous prime is 55758642389. The next prime is 55758642427. The reversal of 55758642400 is 424685755.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129370185 + ... + 129370615.

It is an arithmetic number, because the mean of its divisors is an integer number (506217600).

Almost surely, 2^55758642400 is an apocalyptic number.

55758642400 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 55758642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72895334400).

55758642400 is an abundant number, since it is smaller than the sum of its proper divisors (90032026400).

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

55758642400 is a wasteful number, since it uses less digits than its factorization.

55758642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The spelling of 55758642400 in words is "fifty-five billion, seven hundred fifty-eight million, six hundred forty-two thousand, four hundred".