11378257920 has 520 divisors, whose sum is σ = 43053861840. Its totient is φ = 2874507264.

The previous prime is 11378257897. The next prime is 11378257951. The reversal of 11378257920 is 2975287311.

11378257920 is a `hidden beast` number, since 1 + 1 + 3 + 78 + 2 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 598855671 + ... + 598855689.

Almost surely, 2^11378257920 is an apocalyptic number.

11378257920 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 11378257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526930920).

11378257920 is an abundant number, since it is smaller than the sum of its proper divisors (31675603920).

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

11378257920 is an frugal number, since it uses more digits than its factorization.

11378257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11378257920 in words is "eleven billion, three hundred seventy-eight million, two hundred fifty-seven thousand, nine hundred twenty".