11077059840 has 288 divisors, whose sum is σ = 44108015616. Its totient is φ = 2301665280.

The previous prime is 11077059839. The next prime is 11077059857. The reversal of 11077059840 is 4895077011.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11077059792 and 11077059801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276949 + ... + 314411.

It is an arithmetic number, because the mean of its divisors is an integer number (153152832).

Almost surely, 2^11077059840 is an apocalyptic number.

11077059840 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 11077059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054007808).

11077059840 is an abundant number, since it is smaller than the sum of its proper divisors (33030955776).

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

11077059840 is a wasteful number, since it uses less digits than its factorization.

11077059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37505 (or 37491 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 11077059840 in words is "eleven billion, seventy-seven million, fifty-nine thousand, eight hundred forty".