10577465106072 has 64 divisors (see below), whose sum is σ = 26779269772800. Its totient is φ = 3481077025920.

The previous prime is 10577465105957. The next prime is 10577465106157. The reversal of 10577465106072 is 27060156477501.

It is a happy number.

It is a super-2 number, since 2×10577465106072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73392322 + ... + 73536302.

It is an arithmetic number, because the mean of its divisors is an integer number (418426090200).

Almost surely, 2^{10577465106072} is an apocalyptic number.

10577465106072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10577465106072 is an abundant number, since it is smaller than the sum of its proper divisors (16201804666728).

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

10577465106072 is a wasteful number, since it uses less digits than its factorization.

10577465106072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182816 (or 182812 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 10577465106072 in words is "ten trillion, five hundred seventy-seven billion, four hundred sixty-five million, one hundred six thousand, seventy-two".