1072888191360 has 512 divisors, whose sum is σ = 4063278038400. Its totient is φ = 266600448000.

The previous prime is 1072888191307. The next prime is 1072888191373. The reversal of 1072888191360 is 631918882701.

1072888191360 is a `hidden beast` number, since 10 + 7 + 2 + 8 + 88 + 191 + 360 = 666.

1072888191360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1072888191297 and 1072888191306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29651680 + ... + 29687840.

Almost surely, 2^{1072888191360} is an apocalyptic number.

1072888191360 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 1072888191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031639019200).

1072888191360 is an abundant number, since it is smaller than the sum of its proper divisors (2990389847040).

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

1072888191360 is a wasteful number, since it uses less digits than its factorization.

1072888191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36307 (or 36289 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1072888191360 in words is "one trillion, seventy-two billion, eight hundred eighty-eight million, one hundred ninety-one thousand, three hundred sixty".