10074956997096 has 320 divisors, whose sum is σ = 29962766678400. Its totient is φ = 3136754587680.

The previous prime is 10074956997089. The next prime is 10074956997113. The reversal of 10074956997096 is 69079965947001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10074956997096 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 495 + 69 + 9 + 70 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10074956997096 = 2698³ + 21584³ = 12141³ + 20235³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141900802741 + ... + 141900802811.

It is an arithmetic number, because the mean of its divisors is an integer number (93633645870).

Almost surely, 2^{10074956997096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10074956997096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981383339200).

10074956997096 is an abundant number, since it is smaller than the sum of its proper divisors (19887809681304).

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

10074956997096 is an frugal number, since it uses more digits than its factorization.

10074956997096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 10074956997096 in words is "ten trillion, seventy-four billion, nine hundred fifty-six million, nine hundred ninety-seven thousand, ninety-six".