10294540008480 has 864 divisors, whose sum is σ = 44649897836544. Its totient is φ = 2113318232064.

The previous prime is 10294540008461. The next prime is 10294540008503. The reversal of 10294540008480 is 8480004549201.

10294540008480 is a `hidden beast` number, since 1 + 0 + 2 + 94 + 5 + 400 + 0 + 84 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62948577 + ... + 63111903.

It is an arithmetic number, because the mean of its divisors is an integer number (51678122496).

Almost surely, 2^{10294540008480} is an apocalyptic number.

10294540008480 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 10294540008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324948918272).

10294540008480 is an abundant number, since it is smaller than the sum of its proper divisors (34355357828064).

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

10294540008480 is a wasteful number, since it uses less digits than its factorization.

10294540008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163418 (or 163394 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10294540008480 in words is "ten trillion, two hundred ninety-four billion, five hundred forty million, eight thousand, four hundred eighty".