30725261962560 has 560 divisors, whose sum is σ = 120286354491072. Its totient is φ = 7382624256000.

The previous prime is 30725261962541. The next prime is 30725261962601. The reversal of 30725261962560 is 6526916252703.

It is a happy number.

30725261962560 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 5 + 2 + 6 + 1 + 9 + 625 + 6 + 0 = 666.

It is a super-4 number, since 4×30725261962560⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30725261962497 and 30725261962506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31741735 + ... + 32695385.

Almost surely, 2^{30725261962560} is an apocalyptic number.

30725261962560 is a gapful number since it is divisible by the number (30) 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 30725261962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60143177245536).

30725261962560 is an abundant number, since it is smaller than the sum of its proper divisors (89561092528512).

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

30725261962560 is a wasteful number, since it uses less digits than its factorization.

30725261962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953804 (or 953785 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 30725261962560 in words is "thirty trillion, seven hundred twenty-five billion, two hundred sixty-one million, nine hundred sixty-two thousand, five hundred sixty".