10898720501760 has 4160 divisors, whose sum is σ = 52045982005248. Its totient is φ = 2118949797888.

The previous prime is 10898720501731. The next prime is 10898720501819. The reversal of 10898720501760 is 6710502789801.

10898720501760 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 72 + 0 + 501 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10898720501697 and 10898720501706.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 149297541084 + ... + 149297541156.

Almost surely, 2^{10898720501760} is an apocalyptic number.

10898720501760 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 10898720501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26022991002624).

10898720501760 is an abundant number, since it is smaller than the sum of its proper divisors (41147261503488).

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

10898720501760 is a wasteful number, since it uses less digits than its factorization.

10898720501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 10898720501760 in words is "ten trillion, eight hundred ninety-eight billion, seven hundred twenty million, five hundred one thousand, seven hundred sixty".