10812971520 has 360 divisors, whose sum is σ = 40565194956. Its totient is φ = 2660696064.

The previous prime is 10812971513. The next prime is 10812971557. The reversal of 10812971520 is 2517921801.

It is a happy number.

10812971520 is a `hidden beast` number, since 1 + 0 + 8 + 129 + 7 + 1 + 520 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 192432384 + 10620539136 = 13872^2 + 103056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10812971520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3892372 + ... + 3895148.

Almost surely, 2^10812971520 is an apocalyptic number.

10812971520 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 10812971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282597478).

10812971520 is an abundant number, since it is smaller than the sum of its proper divisors (29752223436).

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

10812971520 is a wasteful number, since it uses less digits than its factorization.

10812971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10812971520 in words is "ten billion, eight hundred twelve million, nine hundred seventy-one thousand, five hundred twenty".