1077266927400 has 192 divisors, whose sum is σ = 3351541350720. Its totient is φ = 286239744000.

The previous prime is 1077266927393. The next prime is 1077266927437. The reversal of 1077266927400 is 47296627701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211184850 + ... + 211189950.

It is an arithmetic number, because the mean of its divisors is an integer number (17455944535).

Almost surely, 2^{1077266927400} is an apocalyptic number.

1077266927400 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 1077266927400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675770675360).

1077266927400 is an abundant number, since it is smaller than the sum of its proper divisors (2274274423320).

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

1077266927400 is a wasteful number, since it uses less digits than its factorization.

1077266927400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 1077266927400 in words is "one trillion, seventy-seven billion, two hundred sixty-six million, nine hundred twenty-seven thousand, four hundred".