21030577344 has 336 divisors, whose sum is σ = 75053952000. Its totient is φ = 5746954752.

The previous prime is 21030577339. The next prime is 21030577453. The reversal of 21030577344 is 44377503012.

21030577344 is a `hidden beast` number, since 2 + 1 + 0 + 305 + 7 + 7 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21030577299 and 21030577308.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1942057 + ... + 1952855.

Almost surely, 2^21030577344 is an apocalyptic number.

21030577344 is a gapful number since it is divisible by the number (24) 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 21030577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37526976000).

21030577344 is an abundant number, since it is smaller than the sum of its proper divisors (54023374656).

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

21030577344 is a wasteful number, since it uses less digits than its factorization.

21030577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10834 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 21030577344 in words is "twenty-one billion, thirty million, five hundred seventy-seven thousand, three hundred forty-four".