10061988480 has 768 divisors, whose sum is σ = 39296275200. Its totient is φ = 2452488192.

The previous prime is 10061988397. The next prime is 10061988487. The reversal of 10061988480 is 8488916001.

10061988480 is a `hidden beast` number, since 100 + 61 + 9 + 8 + 8 + 480 = 666.

It is a super-2 number, since 2×10061988480² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10061988487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103731792 + ... + 103731888.

It is an arithmetic number, because the mean of its divisors is an integer number (51167025).

Almost surely, 2^10061988480 is an apocalyptic number.

10061988480 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 10061988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648137600).

10061988480 is an abundant number, since it is smaller than the sum of its proper divisors (29234286720).

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

10061988480 is an equidigital number, since it uses as much as digits as its factorization.

10061988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10061988480 in words is "ten billion, sixty-one million, nine hundred eighty-eight thousand, four hundred eighty".