10265734154952 has 24 divisors (see below), whose sum is σ = 27803030003190. Its totient is φ = 3421911384960.

The previous prime is 10265734154891. The next prime is 10265734154959. The reversal of 10265734154952 is 25945143756201.

10265734154952 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 7 + 3 + 41 + 549 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8790952222116 + 1474781932836 = 2964954^2 + 1214406^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10265734154952² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10265734154959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71289820449 + ... + 71289820592.

Almost surely, 2^{10265734154952} is an apocalyptic number.

10265734154952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10265734154952 is an abundant number, since it is smaller than the sum of its proper divisors (17537295848238).

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

10265734154952 is a wasteful number, since it uses less digits than its factorization.

10265734154952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142579641053 (or 142579641046 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

It can be divided in two parts, 102657 and 34154952, that added together give a square (34257609 = 5853²).

The spelling of 10265734154952 in words is "ten trillion, two hundred sixty-five billion, seven hundred thirty-four million, one hundred fifty-four thousand, nine hundred fifty-two".