10954506240 has 768 divisors, whose sum is σ = 44165347200. Its totient is φ = 2491416576.

The previous prime is 10954506203. The next prime is 10954506253. The reversal of 10954506240 is 4260545901.

10954506240 is a `hidden beast` number, since 10 + 9 + 545 + 0 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 10954506195 and 10954506204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476282869 + ... + 476282891.

Almost surely, 2^10954506240 is an apocalyptic number.

10954506240 is a gapful number since it is divisible by the number (10) 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 10954506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082673600).

10954506240 is an abundant number, since it is smaller than the sum of its proper divisors (33210840960).

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

10954506240 is a wasteful number, since it uses less digits than its factorization.

10954506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10954506240 in words is "ten billion, nine hundred fifty-four million, five hundred six thousand, two hundred forty".