15101350400000 has 156 divisors (see below), whose sum is σ = 37746383506524. Its totient is φ = 6040535040000.

The previous prime is 15101350399931. The next prime is 15101350400041. The reversal of 15101350400000 is 405310151.

It can be written as a sum of positive squares in 6 ways, for example, as 14887003623424 + 214346776576 = 3858368^2 + 462976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12210104 + ... + 13389896.

Almost surely, 2^{15101350400000} is an apocalyptic number.

15101350400000 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 15101350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873191753262).

15101350400000 is an abundant number, since it is smaller than the sum of its proper divisors (22645033106524).

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

15101350400000 is an frugal number, since it uses more digits than its factorization.

15101350400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179842 (or 1179800 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 15101350400000 its reverse (405310151), we get a palindrome (15101755710151).

The spelling of 15101350400000 in words is "fifteen trillion, one hundred one billion, three hundred fifty million, four hundred thousand".