420250091520 has 384 divisors, whose sum is σ = 1564425306000. Its totient is φ = 96051658752.

The previous prime is 420250091509. The next prime is 420250091563. The reversal of 420250091520 is 25190052024.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×420250091520² (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, 24075756 + ... + 24093204.

Almost surely, 2^420250091520 is an apocalyptic number.

420250091520 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 420250091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782212653000).

420250091520 is an abundant number, since it is smaller than the sum of its proper divisors (1144175214480).

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

420250091520 is an equidigital number, since it uses as much as digits as its factorization.

420250091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 420250091520 in words is "four hundred twenty billion, two hundred fifty million, ninety-one thousand, five hundred twenty".