10153114400 has 216 divisors, whose sum is σ = 29283844464. Its totient is φ = 3407539200.

The previous prime is 10153114373. The next prime is 10153114409. The reversal of 10153114400 is 441135101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10153114409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1483787 + ... + 1490613.

It is an arithmetic number, because the mean of its divisors is an integer number (135573354).

Almost surely, 2^10153114400 is an apocalyptic number.

10153114400 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 10153114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641922232).

10153114400 is an abundant number, since it is smaller than the sum of its proper divisors (19130730064).

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

10153114400 is a wasteful number, since it uses less digits than its factorization.

10153114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10153114400 its reverse (441135101), we get a palindrome (10594249501).

The spelling of 10153114400 in words is "ten billion, one hundred fifty-three million, one hundred fourteen thousand, four hundred".