15451948800 has 540 divisors, whose sum is σ = 58606884336. Its totient is φ = 4014489600.

The previous prime is 15451948753. The next prime is 15451948807. The reversal of 15451948800 is 884915451.

It is a happy number.

15451948800 is a `hidden beast` number, since 1 + 54 + 519 + 4 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15451948807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21254037 + ... + 21254763.

Almost surely, 2^15451948800 is an apocalyptic number.

15451948800 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 15451948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29303442168).

15451948800 is an abundant number, since it is smaller than the sum of its proper divisors (43154935536).

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

15451948800 is an equidigital number, since it uses as much as digits as its factorization.

15451948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 15451948800 in words is "fifteen billion, four hundred fifty-one million, nine hundred forty-eight thousand, eight hundred".