10153612280512 has 112 divisors (see below), whose sum is σ = 20574158008320. Its totient is φ = 4970788992000.

The previous prime is 10153612280509. The next prime is 10153612280519. The reversal of 10153612280512 is 21508221635101.

It is not an unprimeable number, because it can be changed into a prime (10153612280519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363901762 + ... + 363929662.

It is an arithmetic number, because the mean of its divisors is an integer number (183697839360).

Almost surely, 2^{10153612280512} 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 10153612280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287079004160).

10153612280512 is an abundant number, since it is smaller than the sum of its proper divisors (10420545727808).

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

10153612280512 is a wasteful number, since it uses less digits than its factorization.

10153612280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28590 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 10153612280512 in words is "ten trillion, one hundred fifty-three billion, six hundred twelve million, two hundred eighty thousand, five hundred twelve".