13892553000 has 896 divisors, whose sum is σ = 55244592000. Its totient is φ = 3247257600.

The previous prime is 13892552977. The next prime is 13892553023. The reversal of 13892553000 is 35529831.

13892553000 is a `hidden beast` number, since 1 + 38 + 92 + 5 + 530 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13892552977) and next prime (13892553023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 235466971 + ... + 235467029.

Almost surely, 2^13892553000 is an apocalyptic number.

13892553000 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 13892553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27622296000).

13892553000 is an abundant number, since it is smaller than the sum of its proper divisors (41352039000).

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

13892553000 is a wasteful number, since it uses less digits than its factorization.

13892553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13892553000 in words is "thirteen billion, eight hundred ninety-two million, five hundred fifty-three thousand".