11377207296 has 1152 divisors, whose sum is σ = 47056464000. Its totient is φ = 2675441664.

The previous prime is 11377207291. The next prime is 11377207337. The reversal of 11377207296 is 69270277311.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11377207291) 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, 598800375 + ... + 598800393.

It is an arithmetic number, because the mean of its divisors is an integer number (40847625).

Almost surely, 2^11377207296 is an apocalyptic number.

11377207296 is a gapful number since it is divisible by the number (16) 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 11377207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232000).

11377207296 is an abundant number, since it is smaller than the sum of its proper divisors (35679256704).

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

11377207296 is a wasteful number, since it uses less digits than its factorization.

11377207296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 11377207296 in words is "eleven billion, three hundred seventy-seven million, two hundred seven thousand, two hundred ninety-six".