10610948544 has 224 divisors, whose sum is σ = 33964961280. Its totient is φ = 2855927808.

The previous prime is 10610948539. The next prime is 10610948587. The reversal of 10610948544 is 44584901601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10610948544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10610948496 and 10610948505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927372 + ... + 4929524.

Almost surely, 2^10610948544 is an apocalyptic number.

10610948544 is a gapful number since it is divisible by the number (14) 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 10610948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982480640).

10610948544 is an abundant number, since it is smaller than the sum of its proper divisors (23354012736).

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

10610948544 is a wasteful number, since it uses less digits than its factorization.

10610948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10610948544 in words is "ten billion, six hundred ten million, nine hundred forty-eight thousand, five hundred forty-four".