10161474250752 has 1152 divisors, whose sum is σ = 35456104494720. Its totient is φ = 2873339412480.

The previous prime is 10161474250721. The next prime is 10161474250783. The reversal of 10161474250752 is 25705247416101.

10161474250752 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 47 + 42 + 507 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10161474250721) and next prime (10161474250783).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 10161474250698 and 10161474250707.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12749653618 + ... + 12749654414.

It is an arithmetic number, because the mean of its divisors is an integer number (30777868485).

Almost surely, 2^{10161474250752} is an apocalyptic number.

10161474250752 is a gapful number since it is divisible by the number (12) 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 10161474250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728052247360).

10161474250752 is an abundant number, since it is smaller than the sum of its proper divisors (25294630243968).

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

10161474250752 is a wasteful number, since it uses less digits than its factorization.

10161474250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10161474250752 in words is "ten trillion, one hundred sixty-one billion, four hundred seventy-four million, two hundred fifty thousand, seven hundred fifty-two".