1097758977408 has 768 divisors, whose sum is σ = 3455826716160. Its totient is φ = 346599751680.

The previous prime is 1097758977319. The next prime is 1097758977409. The reversal of 1097758977408 is 8047798577901.

1097758977408 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 75 + 89 + 77 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097758977409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9714681160 + ... + 9714681272.

It is an arithmetic number, because the mean of its divisors is an integer number (4499774370).

Almost surely, 2^{1097758977408} is an apocalyptic number.

1097758977408 is a gapful number since it is divisible by the number (18) 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 1097758977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727913358080).

1097758977408 is an abundant number, since it is smaller than the sum of its proper divisors (2358067738752).

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

1097758977408 is an equidigital number, since it uses as much as digits as its factorization.

1097758977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 72.

The spelling of 1097758977408 in words is "one trillion, ninety-seven billion, seven hundred fifty-eight million, nine hundred seventy-seven thousand, four hundred eight".