55728400896 has 800 divisors, whose sum is σ = 203559649920. Its totient is φ = 15021490176.

The previous prime is 55728400891. The next prime is 55728400901. The reversal of 55728400896 is 69800482755.

55728400896 is a `hidden beast` number, since 557 + 2 + 8 + 4 + 0 + 0 + 89 + 6 = 666.

55728400896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55728400891) and next prime (55728400901).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55728400891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763402716 + ... + 763402788.

Almost surely, 2^55728400896 is an apocalyptic number.

55728400896 is a gapful number since it is divisible by the number (56) 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 55728400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779824960).

55728400896 is an abundant number, since it is smaller than the sum of its proper divisors (147831249024).

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

55728400896 is an frugal number, since it uses more digits than its factorization.

55728400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 55728400896 in words is "fifty-five billion, seven hundred twenty-eight million, four hundred thousand, eight hundred ninety-six".