469876759970100 has 576 divisors, whose sum is σ = 1643164164096000. Its totient is φ = 101271964608000.

The previous prime is 469876759970053. The next prime is 469876759970141. The reversal of 469876759970100 is 1079957678964.

It is a junction number, because it is equal to n+sod(n) for n = 469876759969989 and 469876759970016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8574522501 + ... + 8574577299.

Almost surely, 2^{469876759970100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469876759970100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821582082048000).

469876759970100 is an abundant number, since it is smaller than the sum of its proper divisors (1173287404125900).

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

469876759970100 is a wasteful number, since it uses less digits than its factorization.

469876759970100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55844 (or 55837 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 78.

The spelling of 469876759970100 in words is "four hundred sixty-nine trillion, eight hundred seventy-six billion, seven hundred fifty-nine million, nine hundred seventy thousand, one hundred".