126371878776000 has 2688 divisors, whose sum is σ = 586791326564352. Its totient is φ = 25457541120000.

The previous prime is 126371878775957. The next prime is 126371878776047. The reversal of 126371878776000 is 677878173621.

126371878776000 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 7 + 18 + 7 + 8 + 7 + 7 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4025720305 + ... + 4025751695.

It is an arithmetic number, because the mean of its divisors is an integer number (218300344704).

Almost surely, 2^{126371878776000} is an apocalyptic number.

126371878776000 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 126371878776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293395663282176).

126371878776000 is an abundant number, since it is smaller than the sum of its proper divisors (460419447788352).

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

126371878776000 is a wasteful number, since it uses less digits than its factorization.

126371878776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488 (or 31465 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 126371878776000 in words is "one hundred twenty-six trillion, three hundred seventy-one billion, eight hundred seventy-eight million, seven hundred seventy-six thousand".