10405162152 has 480 divisors, whose sum is σ = 38217104640. Its totient is φ = 2615457600.

The previous prime is 10405162151. The next prime is 10405162177. The reversal of 10405162152 is 25126150401.

It is a super-2 number, since 2×10405162152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10405162151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 335650377 + ... + 335650407.

It is an arithmetic number, because the mean of its divisors is an integer number (79618968).

Almost surely, 2^10405162152 is an apocalyptic number.

10405162152 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 10405162152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108552320).

10405162152 is an abundant number, since it is smaller than the sum of its proper divisors (27811942488).

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

10405162152 is an equidigital number, since it uses as much as digits as its factorization.

10405162152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10405162152 in words is "ten billion, four hundred five million, one hundred sixty-two thousand, one hundred fifty-two".