10655152631540 has 96 divisors (see below), whose sum is σ = 23195317572000. Its totient is φ = 4106583613440.

The previous prime is 10655152631471. The next prime is 10655152631551. The reversal of 10655152631540 is 4513625155601.

It can be written as a sum of positive squares in 16 ways, for example, as 239635704676 + 10415516926864 = 489526^2 + 3227308^2 .

It is a super-2 number, since 2×10655152631540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10655152631491 and 10655152631500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610636736 + ... + 610654184.

It is an arithmetic number, because the mean of its divisors is an integer number (241617891375).

Almost surely, 2^{10655152631540} is an apocalyptic number.

10655152631540 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 10655152631540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597658786000).

10655152631540 is an abundant number, since it is smaller than the sum of its proper divisors (12540164940460).

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

10655152631540 is a wasteful number, since it uses less digits than its factorization.

10655152631540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19605 (or 19603 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 10655152631540 in words is "ten trillion, six hundred fifty-five billion, one hundred fifty-two million, six hundred thirty-one thousand, five hundred forty".