10219970880 has 1120 divisors, whose sum is σ = 45319127040. Its totient is φ = 2134978560.

The previous prime is 10219970861. The next prime is 10219970951. The reversal of 10219970880 is 8807991201.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129366681 + ... + 129366759.

Almost surely, 2^10219970880 is an apocalyptic number.

10219970880 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 10219970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22659563520).

10219970880 is an abundant number, since it is smaller than the sum of its proper divisors (35099156160).

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

10219970880 is a wasteful number, since it uses less digits than its factorization.

10219970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 10219970880 in words is "ten billion, two hundred nineteen million, nine hundred seventy thousand, eight hundred eighty".