101457860800 has 84 divisors (see below), whose sum is σ = 249745673736. Its totient is φ = 40567552000.

The previous prime is 101457860761. The next prime is 101457860807. The reversal of 101457860800 is 8068754101.

It is a super-2 number, since 2×101457860800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (101457860807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4730100 + ... + 4751500.

Almost surely, 2^101457860800 is an apocalyptic number.

101457860800 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 101457860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124872836868).

101457860800 is an abundant number, since it is smaller than the sum of its proper divisors (148287812936).

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

101457860800 is a wasteful number, since it uses less digits than its factorization.

101457860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24386 (or 24371 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 101457860800 in words is "one hundred one billion, four hundred fifty-seven million, eight hundred sixty thousand, eight hundred".