10266977280 has 704 divisors, whose sum is σ = 41003407872. Its totient is φ = 2139095040.

The previous prime is 10266977269. The next prime is 10266977339. The reversal of 10266977280 is 8277966201.

It is a super-4 number, since 4×10266977280⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74941372 + ... + 74941508.

Almost surely, 2^10266977280 is an apocalyptic number.

10266977280 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 10266977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501703936).

10266977280 is an abundant number, since it is smaller than the sum of its proper divisors (30736430592).

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

10266977280 is a wasteful number, since it uses less digits than its factorization.

10266977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10266977280 in words is "ten billion, two hundred sixty-six million, nine hundred seventy-seven thousand, two hundred eighty".