20072151000 has 512 divisors, whose sum is σ = 79926912000. Its totient is φ = 4608576000.

The previous prime is 20072150999. The next prime is 20072151013. The reversal of 20072151000 is 15127002.

20072151000 = 346³ + 347³ + ... + 554³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5641222 + ... + 5644778.

It is an arithmetic number, because the mean of its divisors is an integer number (156107250).

Almost surely, 2^20072151000 is an apocalyptic number.

20072151000 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 20072151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39963456000).

20072151000 is an abundant number, since it is smaller than the sum of its proper divisors (59854761000).

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

20072151000 is a wasteful number, since it uses less digits than its factorization.

20072151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 20072151000 its reverse (15127002), we get a palindrome (20087278002).

The spelling of 20072151000 in words is "twenty billion, seventy-two million, one hundred fifty-one thousand".