2260151125536 has 96 divisors (see below), whose sum is σ = 6288324840000. Its totient is φ = 708340760576.

The previous prime is 2260151125511. The next prime is 2260151125567. The reversal of 2260151125536 is 6355211510622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2260151125536² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260151125494 and 2260151125503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885715 + ... + 2303213.

It is an arithmetic number, because the mean of its divisors is an integer number (65503383750).

Almost surely, 2^{2260151125536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260151125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144162420000).

2260151125536 is an abundant number, since it is smaller than the sum of its proper divisors (4028173714464).

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

2260151125536 is a wasteful number, since it uses less digits than its factorization.

2260151125536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418506 (or 1418498 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 2260151125536 in words is "two trillion, two hundred sixty billion, one hundred fifty-one million, one hundred twenty-five thousand, five hundred thirty-six".