15485870400 has 1008 divisors, whose sum is σ = 68967169152. Its totient is φ = 2960179200.

The previous prime is 15485870377. The next prime is 15485870423. The reversal of 15485870400 is 407858451.

It is an interprime number because it is at equal distance from previous prime (15485870377) and next prime (15485870423).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52852654 + ... + 52852946.

Almost surely, 2^15485870400 is an apocalyptic number.

15485870400 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 15485870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34483584576).

15485870400 is an abundant number, since it is smaller than the sum of its proper divisors (53481298752).

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

15485870400 is a wasteful number, since it uses less digits than its factorization.

15485870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 15485870400 in words is "fifteen billion, four hundred eighty-five million, eight hundred seventy thousand, four hundred".