10074655599360 has 576 divisors, whose sum is σ = 36656727883776. Its totient is φ = 2334265753600.

The previous prime is 10074655599343. The next prime is 10074655599373. The reversal of 10074655599360 is 6399555647001.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10074655599294 and 10074655599303.

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, 1467963289 + ... + 1467970151.

It is an arithmetic number, because the mean of its divisors is an integer number (63640152576).

Almost surely, 2^{10074655599360} is an apocalyptic number.

10074655599360 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 10074655599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328363941888).

10074655599360 is an abundant number, since it is smaller than the sum of its proper divisors (26582072284416).

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

10074655599360 is a wasteful number, since it uses less digits than its factorization.

10074655599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 10074655599360 in words is "ten trillion, seventy-four billion, six hundred fifty-five million, five hundred ninety-nine thousand, three hundred sixty".