54913622400 has 1152 divisors, whose sum is σ = 251923875840. Its totient is φ = 11070259200.

The previous prime is 54913622389. The next prime is 54913622431. The reversal of 54913622400 is 422631945.

It is a happy number.

54913622400 is a `hidden beast` number, since 54 + 9 + 1 + 362 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60277945 + ... + 60278855.

It is an arithmetic number, because the mean of its divisors is an integer number (218683920).

Almost surely, 2^54913622400 is an apocalyptic number.

54913622400 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 54913622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125961937920).

54913622400 is an abundant number, since it is smaller than the sum of its proper divisors (197010253440).

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

54913622400 is a wasteful number, since it uses less digits than its factorization.

54913622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 549136 and 22400, that added together give a square (571536 = 756²).

The spelling of 54913622400 in words is "fifty-four billion, nine hundred thirteen million, six hundred twenty-two thousand, four hundred".