13415754000 has 480 divisors, whose sum is σ = 50384775168. Its totient is φ = 3058176000.

The previous prime is 13415753977. The next prime is 13415754007. The reversal of 13415754000 is 45751431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13415754007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12341457 + ... + 12342543.

Almost surely, 2^13415754000 is an apocalyptic number.

13415754000 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 13415754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25192387584).

13415754000 is an abundant number, since it is smaller than the sum of its proper divisors (36969021168).

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

13415754000 is a wasteful number, since it uses less digits than its factorization.

13415754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 13415754000 in words is "thirteen billion, four hundred fifteen million, seven hundred fifty-four thousand".