10470412899072 has 288 divisors, whose sum is σ = 35985892185600. Its totient is φ = 2940841562112.

The previous prime is 10470412899029. The next prime is 10470412899181. The reversal of 10470412899072 is 27099821407401.

10470412899072 is a `hidden beast` number, since 1 + 0 + 4 + 70 + 412 + 8 + 9 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10470412899072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020738 + ... + 4688574.

Almost surely, 2^{10470412899072} is an apocalyptic number.

10470412899072 is a gapful number since it is divisible by the number (12) 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 10470412899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992946092800).

10470412899072 is an abundant number, since it is smaller than the sum of its proper divisors (25515479286528).

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

10470412899072 is an equidigital number, since it uses as much as digits as its factorization.

10470412899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667928 (or 3667908 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10470412899072 in words is "ten trillion, four hundred seventy billion, four hundred twelve million, eight hundred ninety-nine thousand, seventy-two".