501115670400 has 192 divisors, whose sum is σ = 1688936008320. Its totient is φ = 130523043840.

The previous prime is 501115670383. The next prime is 501115670417. The reversal of 501115670400 is 4076511105.

It is an interprime number because it is at equal distance from previous prime (501115670383) and next prime (501115670417).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×501115670400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194172 + ... + 1019771.

It is an arithmetic number, because the mean of its divisors is an integer number (8796541710).

Almost surely, 2^501115670400 is an apocalyptic number.

501115670400 is a gapful number since it is divisible by the number (50) 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 501115670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844468004160).

501115670400 is an abundant number, since it is smaller than the sum of its proper divisors (1187820337920).

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

501115670400 is a wasteful number, since it uses less digits than its factorization.

501115670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214013 (or 1213996 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 501115670400 in words is "five hundred one billion, one hundred fifteen million, six hundred seventy thousand, four hundred".