54951296400 has 2880 divisors, whose sum is σ = 291735613440. Its totient is φ = 9488793600.

The previous prime is 54951296369. The next prime is 54951296429. The reversal of 54951296400 is 469215945.

54951296400 is a `hidden beast` number, since 5 + 4 + 9 + 512 + 96 + 40 + 0 = 666.

54951296400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2389186789 + ... + 2389186811.

It is an arithmetic number, because the mean of its divisors is an integer number (101297088).

Almost surely, 2^54951296400 is an apocalyptic number.

54951296400 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 54951296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145867806720).

54951296400 is an abundant number, since it is smaller than the sum of its proper divisors (236784317040).

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

54951296400 is a wasteful number, since it uses less digits than its factorization.

54951296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54951296400 in words is "fifty-four billion, nine hundred fifty-one million, two hundred ninety-six thousand, four hundred".