487598770526400 has 3024 divisors, whose sum is σ = 2152391550326400. Its totient is φ = 107009783562240.

The previous prime is 487598770526393. The next prime is 487598770526471. The reversal of 487598770526400 is 4625077895784.

It is a happy number.

487598770526400 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 98 + 7 + 7 + 0 + 526 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×487598770526400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 40088686719 + ... + 40088698881.

Almost surely, 2^{487598770526400} is an apocalyptic number.

487598770526400 is a gapful number since it is divisible by the number (40) 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 487598770526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076195775163200).

487598770526400 is an abundant number, since it is smaller than the sum of its proper divisors (1664792779800000).

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

487598770526400 is a wasteful number, since it uses less digits than its factorization.

487598770526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273 (or 12222 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 487598770526400 in words is "four hundred eighty-seven trillion, five hundred ninety-eight billion, seven hundred seventy million, five hundred twenty-six thousand, four hundred".