20147566153000 has 512 divisors, whose sum is σ = 56185333102080. Its totient is φ = 6666009600000.

The previous prime is 20147566152983. The next prime is 20147566153003. The reversal of 20147566153000 is 35166574102.

It is a super-2 number, since 2×20147566153000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20147566153003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3365216007 + ... + 3365221993.

It is an arithmetic number, because the mean of its divisors is an integer number (109736978715).

Almost surely, 2^{20147566153000} is an apocalyptic number.

20147566153000 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 20147566153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28092666551040).

20147566153000 is an abundant number, since it is smaller than the sum of its proper divisors (36037766949080).

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

20147566153000 is a wasteful number, since it uses less digits than its factorization.

20147566153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 20147566153000 in words is "twenty trillion, one hundred forty-seven billion, five hundred sixty-six million, one hundred fifty-three thousand".