10279997038080 has 5760 divisors, whose sum is σ = 51641430736896. Its totient is φ = 1931334451200.

The previous prime is 10279997037953. The next prime is 10279997038097. The reversal of 10279997038080 is 8083079997201.

10279997038080 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 99 + 97 + 0 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10279997037999 and 10279997038017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 239069698539 + ... + 239069698581.

Almost surely, 2^{10279997038080} is an apocalyptic number.

10279997038080 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 10279997038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25820715368448).

10279997038080 is an abundant number, since it is smaller than the sum of its proper divisors (41361433698816).

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

10279997038080 is a wasteful number, since it uses less digits than its factorization.

10279997038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 10279997038080 in words is "ten trillion, two hundred seventy-nine billion, nine hundred ninety-seven million, thirty-eight thousand, eighty".