5461911000 has 1152 divisors, whose sum is σ = 24939532800. Its totient is φ = 1091750400.

The previous prime is 5461910983. The next prime is 5461911061. The reversal of 5461911000 is 1191645.

5461911000 is a `hidden beast` number, since 546 + 1 + 9 + 110 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 287468991 + ... + 287469009.

It is an arithmetic number, because the mean of its divisors is an integer number (21648900).

Almost surely, 2^5461911000 is an apocalyptic number.

5461911000 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 5461911000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469766400).

5461911000 is an abundant number, since it is smaller than the sum of its proper divisors (19477621800).

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

5461911000 is a wasteful number, since it uses less digits than its factorization.

5461911000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5461911000 is about 73904.7427436156. The cubic root of 5461911000 is about 1761.0899541650.

The spelling of 5461911000 in words is "five billion, four hundred sixty-one million, nine hundred eleven thousand".