54756261000 has 1152 divisors, whose sum is σ = 232550922240. Its totient is φ = 11366784000.

The previous prime is 54756260989. The next prime is 54756261019. The reversal of 54756261000 is 16265745.

It is a happy number.

54756261000 is a `hidden beast` number, since 547 + 5 + 6 + 2 + 6 + 100 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1033136974 + ... + 1033137026.

It is an arithmetic number, because the mean of its divisors is an integer number (201867120).

Almost surely, 2^54756261000 is an apocalyptic number.

54756261000 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 54756261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116275461120).

54756261000 is an abundant number, since it is smaller than the sum of its proper divisors (177794661240).

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

54756261000 is a wasteful number, since it uses less digits than its factorization.

54756261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 54756261000 in words is "fifty-four billion, seven hundred fifty-six million, two hundred sixty-one thousand".