11376120258048 has 960 divisors, whose sum is σ = 38984991800832. Its totient is φ = 2920917565440.

The previous prime is 11376120257969. The next prime is 11376120258059. The reversal of 11376120258048 is 84085202167311.

It is a super-2 number, since 2×11376120258048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11376120257988 and 11376120258006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765898790 + ... + 5765900762.

Almost surely, 2^{11376120258048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11376120258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492495900416).

11376120258048 is an abundant number, since it is smaller than the sum of its proper divisors (27608871542784).

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

11376120258048 is a wasteful number, since it uses less digits than its factorization.

11376120258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 11376120258048 in words is "eleven trillion, three hundred seventy-six billion, one hundred twenty million, two hundred fifty-eight thousand, forty-eight".