556007299848 has 1536 divisors, whose sum is σ = 2193609600000. Its totient is φ = 125179084800.

The previous prime is 556007299781. The next prime is 556007299931. The reversal of 556007299848 is 848992700655.

556007299848 is a `hidden beast` number, since 5 + 560 + 0 + 7 + 29 + 9 + 8 + 48 = 666.

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

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, 6247272988 + ... + 6247273076.

It is an arithmetic number, because the mean of its divisors is an integer number (1428131250).

Almost surely, 2^556007299848 is an apocalyptic number.

556007299848 is a gapful number since it is divisible by the number (58) 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 556007299848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800000).

556007299848 is an abundant number, since it is smaller than the sum of its proper divisors (1637602300152).

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

556007299848 is a wasteful number, since it uses less digits than its factorization.

556007299848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 556007299848 in words is "five hundred fifty-six billion, seven million, two hundred ninety-nine thousand, eight hundred forty-eight".