10610056596240 has 400 divisors, whose sum is σ = 38363913949680. Its totient is φ = 2714377236480.

The previous prime is 10610056596221. The next prime is 10610056596253. The reversal of 10610056596240 is 4269565001601.

10610056596240 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 0 + 56 + 596 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 349976361744 + 10260080234496 = 591588^2 + 3203136^2 .

It is a super-2 number, since 2×10610056596240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29323630 + ... + 29683250.

Almost surely, 2^{10610056596240} is an apocalyptic number.

10610056596240 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 10610056596240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181956974840).

10610056596240 is an abundant number, since it is smaller than the sum of its proper divisors (27753857353440).

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

10610056596240 is a wasteful number, since it uses less digits than its factorization.

10610056596240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359832 (or 359817 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10610056596240 in words is "ten trillion, six hundred ten billion, fifty-six million, five hundred ninety-six thousand, two hundred forty".