10870972416 has 336 divisors, whose sum is σ = 33585936384. Its totient is φ = 3511517184.

The previous prime is 10870972403. The next prime is 10870972433. The reversal of 10870972416 is 61427907801.

It is a happy number.

It is a super-4 number, since 4×10870972416⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85598145 + ... + 85598271.

It is an arithmetic number, because the mean of its divisors is an integer number (99958144).

Almost surely, 2^10870972416 is an apocalyptic number.

10870972416 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 10870972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792968192).

10870972416 is an abundant number, since it is smaller than the sum of its proper divisors (22714963968).

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

10870972416 is an frugal number, since it uses more digits than its factorization.

10870972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10870972416 in words is "ten billion, eight hundred seventy million, nine hundred seventy-two thousand, four hundred sixteen".