126491977920 has 448 divisors, whose sum is σ = 503285760000. Its totient is φ = 26148925440.

The previous prime is 126491977907. The next prime is 126491977957. The reversal of 126491977920 is 29779194621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×126491977920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14705781 + ... + 14714379.

Almost surely, 2^126491977920 is an apocalyptic number.

126491977920 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 126491977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251642880000).

126491977920 is an abundant number, since it is smaller than the sum of its proper divisors (376793782080).

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

126491977920 is a wasteful number, since it uses less digits than its factorization.

126491977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 126491977920 in words is "one hundred twenty-six billion, four hundred ninety-one million, nine hundred seventy-seven thousand, nine hundred twenty".