21150872515500 has 1152 divisors, whose sum is σ = 82024310624256. Its totient is φ = 4183280640000.

The previous prime is 21150872515249. The next prime is 21150872515511. The reversal of 21150872515500 is 551527805112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4272038025 + ... + 4272042975.

It is an arithmetic number, because the mean of its divisors is an integer number (71201658528).

Almost surely, 2^{21150872515500} is an apocalyptic number.

21150872515500 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 21150872515500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41012155312128).

21150872515500 is an abundant number, since it is smaller than the sum of its proper divisors (60873438108756).

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

21150872515500 is a wasteful number, since it uses less digits than its factorization.

21150872515500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 140000, while the sum is 42.

The spelling of 21150872515500 in words is "twenty-one trillion, one hundred fifty billion, eight hundred seventy-two million, five hundred fifteen thousand, five hundred".