54611483400 has 1152 divisors, whose sum is σ = 219360960000. Its totient is φ = 12076646400.

The previous prime is 54611483387. The next prime is 54611483447. The reversal of 54611483400 is 438411645.

54611483400 is a `hidden beast` number, since 5 + 4 + 611 + 4 + 8 + 34 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 691284561 + ... + 691284639.

It is an arithmetic number, because the mean of its divisors is an integer number (190417500).

Almost surely, 2^54611483400 is an apocalyptic number.

54611483400 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 54611483400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480000).

54611483400 is an abundant number, since it is smaller than the sum of its proper divisors (164749476600).

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

54611483400 is a wasteful number, since it uses less digits than its factorization.

54611483400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54611483400 in words is "fifty-four billion, six hundred eleven million, four hundred eighty-three thousand, four hundred".