1077119259840 has 1120 divisors, whose sum is σ = 4397902629120. Its totient is φ = 248033746944.

The previous prime is 1077119259791. The next prime is 1077119259877. The reversal of 1077119259840 is 489529117701.

1077119259840 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 1 + 1 + 9 + 2 + 598 + 40 = 666.

1077119259840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1077119259840³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 531384907 + ... + 531386933.

It is an arithmetic number, because the mean of its divisors is an integer number (3926698776).

Almost surely, 2^{1077119259840} is an apocalyptic number.

1077119259840 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 1077119259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198951314560).

1077119259840 is an abundant number, since it is smaller than the sum of its proper divisors (3320783369280).

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

1077119259840 is a wasteful number, since it uses less digits than its factorization.

1077119259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1077119259840 in words is "one trillion, seventy-seven billion, one hundred nineteen million, two hundred fifty-nine thousand, eight hundred forty".