725356451820 has 1152 divisors, whose sum is σ = 2871380606976. Its totient is φ = 132979968000.

The previous prime is 725356451819. The next prime is 725356451861. The reversal of 725356451820 is 28154653527.

It is a super-2 number, since 2×725356451820² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725356451820.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2191409055 + ... + 2191409385.

It is an arithmetic number, because the mean of its divisors is an integer number (2492517888).

Almost surely, 2^725356451820 is an apocalyptic number.

725356451820 is a gapful number since it is divisible by the number (70) 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 725356451820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435690303488).

725356451820 is an abundant number, since it is smaller than the sum of its proper divisors (2146024155156).

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

725356451820 is a wasteful number, since it uses less digits than its factorization.

725356451820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 725356451820 in words is "seven hundred twenty-five billion, three hundred fifty-six million, four hundred fifty-one thousand, eight hundred twenty".