11578728420 has 216 divisors, whose sum is σ = 41528076408. Its totient is φ = 2603059200.

The previous prime is 11578728409. The next prime is 11578728433. The reversal of 11578728420 is 2482787511.

11578728420 is a `hidden beast` number, since 1 + 1 + 578 + 72 + 8 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 11569583844 = 3024^2 + 107562^2 .

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 71 ways as a sum of consecutive naturals, for example, 527260 + ... + 548780.

It is an arithmetic number, because the mean of its divisors is an integer number (192259613).

Almost surely, 2^11578728420 is an apocalyptic number.

11578728420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 107604×107605.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11578728420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764038204).

11578728420 is an abundant number, since it is smaller than the sum of its proper divisors (29949347988).

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

11578728420 is a wasteful number, since it uses less digits than its factorization.

11578728420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21611 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11578728420 in words is "eleven billion, five hundred seventy-eight million, seven hundred twenty-eight thousand, four hundred twenty".