20153286000 has 400 divisors, whose sum is σ = 75162117888. Its totient is φ = 5199552000.

The previous prime is 20153285989. The next prime is 20153286011. The reversal of 20153286000 is 68235102.

20153286000 is a `hidden beast` number, since 2 + 0 + 1 + 53 + 2 + 8 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20153285989) and next prime (20153286011).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5019994 + ... + 5024006.

Almost surely, 2^20153286000 is an apocalyptic number.

20153286000 is a gapful number since it is divisible by the number (20) 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 20153286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37581058944).

20153286000 is an abundant number, since it is smaller than the sum of its proper divisors (55008831888).

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

20153286000 is a wasteful number, since it uses less digits than its factorization.

20153286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 20153 and 286000, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 20153286000 in words is "twenty billion, one hundred fifty-three million, two hundred eighty-six thousand".