21157450496 has 216 divisors, whose sum is σ = 55216403424. Its totient is φ = 8004648960.

The previous prime is 21157450439. The next prime is 21157450499. The reversal of 21157450496 is 69405475112.

It is a super-2 number, since 2×21157450496² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21157450499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3747836 + ... + 3753476.

Almost surely, 2^21157450496 is an apocalyptic number.

21157450496 is a gapful number since it is divisible by the number (26) 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 21157450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608201712).

21157450496 is an abundant number, since it is smaller than the sum of its proper divisors (34058952928).

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

21157450496 is a wasteful number, since it uses less digits than its factorization.

21157450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 21157450496 in words is "twenty-one billion, one hundred fifty-seven million, four hundred fifty thousand, four hundred ninety-six".