10219939776 has 280 divisors, whose sum is σ = 32462480160. Its totient is φ = 3167797248.

The previous prime is 10219939757. The next prime is 10219939789. The reversal of 10219939776 is 67793991201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7842741 + ... + 7844043.

Almost surely, 2^10219939776 is an apocalyptic number.

10219939776 is a gapful number since it is divisible by the number (16) 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 10219939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231240080).

10219939776 is an abundant number, since it is smaller than the sum of its proper divisors (22242540384).

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

10219939776 is a wasteful number, since it uses less digits than its factorization.

10219939776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 10219939776 in words is "ten billion, two hundred nineteen million, nine hundred thirty-nine thousand, seven hundred seventy-six".