10000078248960 has 880 divisors, whose sum is σ = 37788396877440. Its totient is φ = 2521802833920.

The previous prime is 10000078248931. The next prime is 10000078248967. The reversal of 10000078248960 is 6984287000001.

10000078248960 is a `hidden beast` number, since 100 + 0 + 0 + 0 + 7 + 8 + 2 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000078248967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7651168627 + ... + 7651169933.

It is an arithmetic number, because the mean of its divisors is an integer number (42941360088).

Almost surely, 2^{10000078248960} is an apocalyptic number.

10000078248960 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 10000078248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894198438720).

10000078248960 is an abundant number, since it is smaller than the sum of its proper divisors (27788318628480).

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

10000078248960 is a wasteful number, since it uses less digits than its factorization.

10000078248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10000078248960 in words is "ten trillion, seventy-eight million, two hundred forty-eight thousand, nine hundred sixty".