10277929920 has 336 divisors, whose sum is σ = 35228832768. Its totient is φ = 2537256960.

The previous prime is 10277929919. The next prime is 10277929931. The reversal of 10277929920 is 2992977201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10277929920.

It is a congruent number.

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, 16288005 + ... + 16288635.

Almost surely, 2^10277929920 is an apocalyptic number.

10277929920 is a gapful number since it is divisible by the number (10) 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 10277929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614416384).

10277929920 is an abundant number, since it is smaller than the sum of its proper divisors (24950902848).

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

10277929920 is a wasteful number, since it uses less digits than its factorization.

10277929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10277929920 in words is "ten billion, two hundred seventy-seven million, nine hundred twenty-nine thousand, nine hundred twenty".