124861507827840 has 1280 divisors, whose sum is σ = 518379592389120. Its totient is φ = 28051002556416.

The previous prime is 124861507827839. The next prime is 124861507827941. The reversal of 124861507827840 is 48728705168421.

124861507827840 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 6 + 1 + 507 + 82 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×124861507827840² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7761632277 + ... + 7761648363.

It is an arithmetic number, because the mean of its divisors is an integer number (404984056554).

Almost surely, 2^{124861507827840} is an apocalyptic number.

124861507827840 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 124861507827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259189796194560).

124861507827840 is an abundant number, since it is smaller than the sum of its proper divisors (393518084561280).

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

124861507827840 is a wasteful number, since it uses less digits than its factorization.

124861507827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16491 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 124861507827840 in words is "one hundred twenty-four trillion, eight hundred sixty-one billion, five hundred seven million, eight hundred twenty-seven thousand, eight hundred forty".