60109988400 has 1440 divisors, whose sum is σ = 278915719680. Its totient is φ = 11612160000.

The previous prime is 60109988369. The next prime is 60109988413. The reversal of 60109988400 is 488990106.

60109988400 is a `hidden beast` number, since 60 + 109 + 9 + 88 + 400 = 666.

It is a super-2 number, since 2×60109988400² (a number of 22 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 531946744 + ... + 531946856.

It is an arithmetic number, because the mean of its divisors is an integer number (193691472).

Almost surely, 2^60109988400 is an apocalyptic number.

60109988400 is a gapful number since it is divisible by the number (60) 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 60109988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139457859840).

60109988400 is an abundant number, since it is smaller than the sum of its proper divisors (218805731280).

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

60109988400 is a wasteful number, since it uses less digits than its factorization.

60109988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 60109988400 in words is "sixty billion, one hundred nine million, nine hundred eighty-eight thousand, four hundred".