11457857617920 has 768 divisors, whose sum is σ = 47076661457280. Its totient is φ = 2618875183104.

The previous prime is 11457857617903. The next prime is 11457857617933. The reversal of 11457857617920 is 2971675875411.

11457857617920 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 8 + 5 + 7 + 617 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278671284 + ... + 278712396.

Almost surely, 2^{11457857617920} is an apocalyptic number.

11457857617920 is a gapful number since it is divisible by the number (10) 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 11457857617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538330728640).

11457857617920 is an abundant number, since it is smaller than the sum of its proper divisors (35618803839360).

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

11457857617920 is an frugal number, since it uses more digits than its factorization.

11457857617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41170 (or 41130 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 11457857617920 in words is "eleven trillion, four hundred fifty-seven billion, eight hundred fifty-seven million, six hundred seventeen thousand, nine hundred twenty".