125404780800 has 648 divisors, whose sum is σ = 459317018496. Its totient is φ = 29952737280.

The previous prime is 125404780789. The next prime is 125404780811. The reversal of 125404780800 is 8087404521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125404780789) and next prime (125404780811).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 341702217 + ... + 341702583.

Almost surely, 2^125404780800 is an apocalyptic number.

125404780800 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 125404780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229658509248).

125404780800 is an abundant number, since it is smaller than the sum of its proper divisors (333912237696).

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

125404780800 is a wasteful number, since it uses less digits than its factorization.

125404780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 125404780800 in words is "one hundred twenty-five billion, four hundred four million, seven hundred eighty thousand, eight hundred".