21348949680 has 480 divisors, whose sum is σ = 77676528384. Its totient is φ = 5444195328.

The previous prime is 21348949667. The next prime is 21348949693. The reversal of 21348949680 is 8694984312.

It is an interprime number because it is at equal distance from previous prime (21348949667) and next prime (21348949693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48191539 + ... + 48191981.

Almost surely, 2^21348949680 is an apocalyptic number.

21348949680 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 21348949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38838264192).

21348949680 is an abundant number, since it is smaller than the sum of its proper divisors (56327578704).

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

21348949680 is a wasteful number, since it uses less digits than its factorization.

21348949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 213489 and 49680, that added together give a square (263169 = 513²).

The spelling of 21348949680 in words is "twenty-one billion, three hundred forty-eight million, nine hundred forty-nine thousand, six hundred eighty".