10153278720 has 720 divisors, whose sum is σ = 40553221632. Its totient is φ = 2418647040.

The previous prime is 10153278701. The next prime is 10153278727. The reversal of 10153278720 is 2787235101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153278727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327525105 + ... + 327525135.

Almost surely, 2^10153278720 is an apocalyptic number.

10153278720 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 10153278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276610816).

10153278720 is an abundant number, since it is smaller than the sum of its proper divisors (30399942912).

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

10153278720 is an frugal number, since it uses more digits than its factorization.

10153278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10153278720 in words is "ten billion, one hundred fifty-three million, two hundred seventy-eight thousand, seven hundred twenty".