11377075046400 has 864 divisors, whose sum is σ = 48590938730880. Its totient is φ = 2487393976320.

The previous prime is 11377075046341. The next prime is 11377075046429. The reversal of 11377075046400 is 464057077311.

11377075046400 is a `hidden beast` number, since 1 + 1 + 37 + 70 + 7 + 504 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×11377075046400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74112124 + ... + 74265476.

It is an arithmetic number, because the mean of its divisors is an integer number (56239512420).

Almost surely, 2^{11377075046400} is an apocalyptic number.

11377075046400 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 11377075046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295469365440).

11377075046400 is an abundant number, since it is smaller than the sum of its proper divisors (37213863684480).

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

11377075046400 is a wasteful number, since it uses less digits than its factorization.

11377075046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153421 (or 153393 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 11377075046400 in words is "eleven trillion, three hundred seventy-seven billion, seventy-five million, forty-six thousand, four hundred".