21151190151000 has 512 divisors, whose sum is σ = 90245088460800. Its totient is φ = 4462668172800.

The previous prime is 21151190150983. The next prime is 21151190151023. The reversal of 21151190151000 is 15109115112.

21151190151000 is a `hidden beast` number, since 2 + 11 + 51 + 1 + 90 + 1 + 510 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1847272 + ... + 6761271.

It is an arithmetic number, because the mean of its divisors is an integer number (176259938400).

Almost surely, 2^{21151190151000} is an apocalyptic number.

21151190151000 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 21151190151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122544230400).

21151190151000 is an abundant number, since it is smaller than the sum of its proper divisors (69093898309800).

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

21151190151000 is a wasteful number, since it uses less digits than its factorization.

21151190151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608593 (or 8608573 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 27.

Adding to 21151190151000 its reverse (15109115112), we get a palindrome (21166299266112).

The spelling of 21151190151000 in words is "twenty-one trillion, one hundred fifty-one billion, one hundred ninety million, one hundred fifty-one thousand".