1011778560 has 352 divisors, whose sum is σ = 3879146880. Its totient is φ = 248610816.

The previous prime is 1011778553. The next prime is 1011778567. The reversal of 1011778560 is 658771101.

It is a happy number.

1011778560 is a `hidden beast` number, since 10 + 1 + 17 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1011778553) and next prime (1011778567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1011778567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796839 + ... + 1797401.

Almost surely, 2^1011778560 is an apocalyptic number.

1011778560 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 1011778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939573440).

1011778560 is an abundant number, since it is smaller than the sum of its proper divisors (2867368320).

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

1011778560 is a wasteful number, since it uses less digits than its factorization.

1011778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 1011778560 is about 31808.4667973796. The cubic root of 1011778560 is about 1003.9108718095.

The spelling of 1011778560 in words is "one billion, eleven million, seven hundred seventy-eight thousand, five hundred sixty".