10739120417172 has 192 divisors, whose sum is σ = 33722114711040. Its totient is φ = 2885194432512.

The previous prime is 10739120417141. The next prime is 10739120417183. The reversal of 10739120417172 is 27171402193701.

10739120417172 is a `hidden beast` number, since 1 + 0 + 7 + 391 + 20 + 4 + 171 + 72 = 666.

It is a super-2 number, since 2×10739120417172² (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 63 ways as a sum of consecutive naturals, for example, 13717788 + ... + 14479500.

It is an arithmetic number, because the mean of its divisors is an integer number (175636014120).

Almost surely, 2^{10739120417172} is an apocalyptic number.

10739120417172 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 10739120417172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861057355520).

10739120417172 is an abundant number, since it is smaller than the sum of its proper divisors (22982994293868).

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

10739120417172 is a wasteful number, since it uses less digits than its factorization.

10739120417172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762847 (or 762839 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10739120417172 in words is "ten trillion, seven hundred thirty-nine billion, one hundred twenty million, four hundred seventeen thousand, one hundred seventy-two".