21761249370 has 96 divisors (see below), whose sum is σ = 61609838976. Its totient is φ = 4903920000.

The previous prime is 21761249329. The next prime is 21761249399. The reversal of 21761249370 is 7394216712.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120 + ... + 208620.

It is an arithmetic number, because the mean of its divisors is an integer number (641769156).

Almost surely, 2^21761249370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21761249370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30804919488).

21761249370 is an abundant number, since it is smaller than the sum of its proper divisors (39848589606).

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

21761249370 is a wasteful number, since it uses less digits than its factorization.

21761249370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208596 (or 208589 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 21761249370 in words is "twenty-one billion, seven hundred sixty-one million, two hundred forty-nine thousand, three hundred seventy".