23262919680 has 1408 divisors, whose sum is σ = 106965411840. Its totient is φ = 4152360960.

The previous prime is 23262919661. The next prime is 23262919699. The reversal of 23262919680 is 8691926232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23262919661) and next prime (23262919699).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261381076 + ... + 261381164.

Almost surely, 2^23262919680 is an apocalyptic number.

23262919680 is a gapful number since it is divisible by the number (20) 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 23262919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53482705920).

23262919680 is an abundant number, since it is smaller than the sum of its proper divisors (83702492160).

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

23262919680 is a wasteful number, since it uses less digits than its factorization.

23262919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 23262919680 in words is "twenty-three billion, two hundred sixty-two million, nine hundred nineteen thousand, six hundred eighty".