10162401465000 has 640 divisors, whose sum is σ = 34096565606400. Its totient is φ = 2515685760000.

The previous prime is 10162401464983. The next prime is 10162401465001. The reversal of 10162401465000 is 56410426101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10162401465001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3500653549 + ... + 3500656451.

It is an arithmetic number, because the mean of its divisors is an integer number (53275883760).

Almost surely, 2^{10162401465000} is an apocalyptic number.

10162401465000 is a gapful number since it is divisible by the number (10) 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 10162401465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048282803200).

10162401465000 is an abundant number, since it is smaller than the sum of its proper divisors (23934164141400).

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

10162401465000 is a wasteful number, since it uses less digits than its factorization.

10162401465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10162401465000 in words is "ten trillion, one hundred sixty-two billion, four hundred one million, four hundred sixty-five thousand".