725855737950 has 432 divisors, whose sum is σ = 2455305600384. Its totient is φ = 156145190400.

The previous prime is 725855737909. The next prime is 725855737969. The reversal of 725855737950 is 59737558527.

725855737950 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 5 + 573 + 7 + 9 + 50 = 666.

It is a super-3 number, since 3×725855737950³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24564685 + ... + 24594215.

Almost surely, 2^725855737950 is an apocalyptic number.

725855737950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 725855737950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227652800192).

725855737950 is an abundant number, since it is smaller than the sum of its proper divisors (1729449862434).

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

725855737950 is a wasteful number, since it uses less digits than its factorization.

725855737950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29599 (or 29565 counting only the distinct ones).

The product of its (nonzero) digits is 92610000, while the sum is 63.

The spelling of 725855737950 in words is "seven hundred twenty-five billion, eight hundred fifty-five million, seven hundred thirty-seven thousand, nine hundred fifty".