10295738553472 has 64 divisors (see below), whose sum is σ = 21734427821400. Its totient is φ = 4841293348864.

The previous prime is 10295738553409. The next prime is 10295738553547. The reversal of 10295738553472 is 27435583759201.

It can be written as a sum of positive squares in 4 ways, for example, as 9463892406336 + 831846147136 = 3076344^2 + 912056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10295738553472² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10295738553472.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969528 + ... + 4640200.

Almost surely, 2^{10295738553472} 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 10295738553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867213910700).

10295738553472 is an abundant number, since it is smaller than the sum of its proper divisors (11438689267928).

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

10295738553472 is a wasteful number, since it uses less digits than its factorization.

10295738553472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671993 (or 3671981 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 61.

The spelling of 10295738553472 in words is "ten trillion, two hundred ninety-five billion, seven hundred thirty-eight million, five hundred fifty-three thousand, four hundred seventy-two".