10834554640 has 240 divisors, whose sum is σ = 31868085312. Its totient is φ = 3395202048.

The previous prime is 10834554611. The next prime is 10834554659. The reversal of 10834554640 is 4645543801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10834554593 and 10834554602.

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, 5451727 + ... + 5453713.

Almost surely, 2^10834554640 is an apocalyptic number.

10834554640 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 10834554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934042656).

10834554640 is an abundant number, since it is smaller than the sum of its proper divisors (21033530672).

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

10834554640 is a wasteful number, since it uses less digits than its factorization.

10834554640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 10834554640 in words is "ten billion, eight hundred thirty-four million, five hundred fifty-four thousand, six hundred forty".